Changes: 1,009

Revision as of 00:38, 24 January 2017

1,009

Basic Information

Cardinal Number

one thousand and nine

Ordinal Number

one thousand and ninth

Roman Numeral

MIX

Greek Numeral

,ΑΘ´

Factorization

1009

Different Representations

Binary Form

1111110001₂

Ternary Form

1101101₃

Quaternary Form

33301₄

Quinary Form

13014₅

Senary Form

4401₆

Septenary Form

2641₇

Octal Form

1761₈

Nonary Form

1341₉

Undecimal Form

838₁₁

Duodecimal Form

701₁₂

Tridecimal Form

5C8₁₃

Quattuordecimal Form

521₁₄

Quindecimal Form

474₁₅

Hexadecimal Form

3F1₁₆

Septendecimal Form

386₁₇

Octodecimal Form

321₁₈

Novemdecimal Form

2F2₁₉

Vigesimal Form

2A9₂₀

Unvigesimal Form

261₂₁

Duovigesimal Form

21J₂₂

Trevigesimal Form

1KK₂₃

Quattuorvigesimal Form

1I1₂₄

Quinvigesimal Form

1F9₂₅

Hexavigesimal Form

1CL₂₆

Septenvigesimal Form

1AA₂₇

Octovigesimal Form

181₂₈

Novemvigesimal Form

15N₂₉

Trigesimal Form

13J₃₀

Untrigesimal Form

11H₃₁

Duotrigesimal Form

VH₃₂

Tretrigesimal Form

UJ₃₃

Quattuortrigesimal Form

TN₃₄

Quintrigesimal Form

ST₃₅

Hexatrigesimal Form

S1₃₆

Previous	Current	Next
997	1,009	1,013

1,009 is a prime number from 1001-2000. 1,009 has 2 factors, 1 and 1,009. It is the 169th prime number, and the 1st prime number from 1001-2000.

Proofs

— 1,009 can be divided by 1.

— 1,009 cannot be divided by 2-1,008.

— 1,009 can be divided by 1,009.

Relationship with other odd numbers

The numbers before

The previous prime number is 997, 12 numbers away.
- 999 is divisible by 3.
- 1,001 is divisible by 7.
- 1,003 is divisible by 17.
- 1,005 is divisible by 5.
- 1,007 can be factored as 19 x 53.
The previous prime number before 997 is 991.

The numbers after

The next prime number is 1,013.
- 1,009 and 1,013 are cousin primes.
1,019 is the next prime number after 1,013.

Trivia

Prime Numbers

1,001-1,500
1,001-1,050	1,009 • 1,013 • 1,019 • 1,021 • 1,031 • 1,033 • 1,039 • 1,049
1,051-1,100	1,051 • 1,061 • 1,063 • 1,069 • 1,087 • 1,091 • 1,093 • 1,097
1,101-1,150	1,103 • 1,109 • 1,117 • 1,123 • 1,129
1,151-1,200	1,151 • 1,153 • 1,163 • 1,171 • 1,181 • 1,187 • 1,193
1,201-1,250	1,201 • 1,213 • 1,217 • 1,223 • 1,229 • 1,231 • 1,237 • 1,249
1,251-1,300	1,259 • 1,277 • 1,279 • 1,283 • 1,289 • 1,291 • 1,297
1,301-1,350	1,301 • 1,303 • 1,307 • 1,319 • 1,321 • 1,327
1,351-1,400	1,361 • 1,367 • 1,373 • 1,381 • 1,399
1,401-1,450	1,409 • 1,423 • 1,427 • 1,429 • 1,433 • 1,439 • 1,447
1,451-1,500	1,451 • 1,453 • 1,459 • 1,471 • 1,481 • 1,483 • 1,487 • 1,489 • 1,493 • 1,499

1,501-2,000
1,501-1,550	1,511 • 1,523 • 1,531 • 1,543 • 1,549
1,551-1,600	1,553 • 1,559 • 1,567 • 1,571 • 1,579 • 1,583 • 1,597
1,601-1,650	1,601 • 1,607 • 1,609 • 1,613 • 1,619 • 1,621 • 1,627 • 1,637
1,651-1,700	1,657 • 1,663 • 1,667 • 1,669 • 1,693 • 1,697 • 1,699
1,701-1,750	1,709 • 1,721 • 1,723 • 1,733 • 1,741 • 1,747
1,751-1,800	1,753 • 1,759 • 1,777 • 1,783 • 1,787 • 1,789
1,801-1,850	1,801 • 1,811 • 1,823 • 1,831 • 1,847
1,851-1,900	1,861 • 1,867 • 1,871 • 1,873 • 1,877 • 1,879 • 1,889
1,901-1,950	1,901 • 1,907 • 1,913 • 1,931 • 1,933 • 1,949
1,951-2,000	1,951 • 1,973 • 1,979 • 1,987 • 1,993 • 1,997 • 1,999

2,001-2,500
2,001-2,050	2,003 • 2,011 • 2,017 • 2,027 • 2,029 • 2,039
2,051-2,100	2,053 • 2,063 • 2,069 • 2,081 • 2,083 • 2,087 • 2,089 • 2,099
2,101-2,150	2,111 • 2,113 • 2,129 • 2,131 • 2,137 • 2,141 • 2,143
2,151-2,200	2,153 • 2,161 • 2,179
2,201-2,250	2,203 • 2,207 • 2,213 • 2,221 • 2,237 • 2,239 • 2,243
2,251-2,300	2,251 • 2,267 • 2,269 • 2,273 • 2,281 • 2,287 • 2,293 • 2,297
2,301-2,350	2,309 • 2,311 • 2,333 • 2,339 • 2,341 • 2,347
2,351-2,400	2,351 • 2,357 • 2,371 • 2,377 • 2,381 • 2,383 • 2,389 • 2,393 • 2,399
2,401-2,450	2,411 • 2,417 • 2,423 • 2,437 • 2,441 • 2,447
2,451-2,500	2,459 • 2,467 • 2,473 • 2,477

2,501-3,000
2,501-2,550	2,503 • 2,521 • 2,531 • 2,539 • 2,543 • 2,549
2,551-2,600	2,551 • 2,557 • 2,579 • 2,591 • 2,593
2,601-2,650	2,609 • 2,617 • 2,621 • 2,633 • 2,647
2,651-2,700	2,657 • 2,659 • 2,663 • 2,671 • 2,677 • 2,683 • 2,687 • 2,689 • 2,693 • 2,699
2,701-2,750	2,707 • 2,711 • 2,713 • 2,719 • 2,729 • 2,731 • 2,741 • 2,749
2,751-2,800	2,753 • 2,767 • 2,777 • 2,789 • 2,791 • 2,797
2,801-2,850	2,801 • 2,803 • 2,819 • 2,833 • 2,837 • 2,843
2,851-2,900	2,851 • 2,857 • 2,861 • 2,879 • 2,887 • 2,897
2,901-2,950	2,903 • 2,909 • 2,917 • 2,927 • 2,939
2,951-3,000	2,953 • 2,957 • 2,963 • 2,969 • 2,971 • 2,999

@@ Line 1: / Line 1: @@
 {{Infobox
-|title = 1009
+|title = 1,009
 |image = 1009.png
 |imagewidth = 250
 |roman-number = MIX
 |ordinal-number = one thousand and ninth
-|previous = [[997|<font color="white">997</font>]]
+|previous = 997
+|next = 1,013|cardinal-number = one thousand and nine
-|next = [[1013|<font color="white">1013</font>]]}}
+|Base-2 Form = 11 11110001
-{{PAGENAME}} is a [http://prime-numbers.wikia.com/wiki/1001-2000 prime number from 1001-2000]. {{PAGENAME}} has 2 factors, 1 and {{PAGENAME}}. It is the 169th prime number, and the 1st prime number from 1001-2000.
+|Base-8 Form = 1761
+|Base-16 Form = 3F1}}
+,009 is a [http://prime-numbers.wikia.com/wiki/1001-2000 prime number from 1001-2000]. 1,009 has 2 factors, 1 and 1,009. It is the 169th prime number, and the 1st prime number from 1001-2000.
 ==Proofs==
+*{{Divisibility number|Yes|1.}}
-*1 can divide 1009
+*{{Divisibility number|No|2-1,008.}}
-*2 cannot
+*{{Divisibility number|Yes|1,009.}}
-*3 cannot
-*5 - 1008 cannot
-*1009 can!
 ==Relationship with other odd numbers==
 ===The numbers before===
 *The previous prime number is [[997]], 12 numbers away.
-**999 is divisible by 3, 1001 by 7, 1003 by 17, 1005 by 5, and 1007 by 19.
+**999 is divisible by 3.
+**1,001 is divisible by 7.
+**1,003 is divisible by 17.
+**1,005 is divisible by 5.
+**1,007 can be factored as 19 x 53.
 *The previous prime number before 997 is [[991]].
 ===The numbers after===
-*The next prime number is [[1013]].
+*The next prime number is [[1,013]].
-**1009 and 1013 are cousin primes.
+**1,009 and 1,013 are cousin primes.
-*[[1019]] is the next prime number after 1013.
+*[[1,019]] is the next prime number after 1,013.
 ==Trivia==
@@ Line 31: / Line 36: @@
 [[Category:Prime Numbers from 1001-2000]]
 [[Category:4-Digit Prime Numbers]]
+[[Category:Cousin Primes]]