Changes: 401

Revision as of 15:31, 15 February 2014

401

Basic Information

Cardinal Number

four hundred and one

Ordinal Number

four hundred and first

Roman Numeral

CDI

Greek Numeral

ΥΑ´

Factorization

401

Different Representations

Binary Form

110010001₂

Ternary Form

112212₃

Quaternary Form

12101₄

Quinary Form

3101₅

Senary Form

1505₆

Septenary Form

1112₇

Octal Form

621₈

Nonary Form

485₉

Undecimal Form

335₁₁

Duodecimal Form

295₁₂

Tridecimal Form

24B₁₃

Quattuordecimal Form

209₁₄

Quindecimal Form

1BB₁₅

Hexadecimal Form

191₁₆

Septendecimal Form

16A₁₇

Octodecimal Form

145₁₈

Novemdecimal Form

122₁₉

Vigesimal Form

101₂₀

Unvigesimal Form

J2₂₁

Duovigesimal Form

I5₂₂

Trevigesimal Form

HA₂₃

Quattuorvigesimal Form

GH₂₄

Quinvigesimal Form

G1₂₅

Hexavigesimal Form

FB₂₆

Septenvigesimal Form

EN₂₇

Octovigesimal Form

E9₂₈

Novemvigesimal Form

DO₂₉

Trigesimal Form

DB₃₀

Untrigesimal Form

CT₃₁

Duotrigesimal Form

CH₃₂

Tretrigesimal Form

C5₃₃

Quattuortrigesimal Form

BR₃₄

Quintrigesimal Form

BG₃₅

Hexatrigesimal Form

B5₃₆

Previous	Current	Next
[[397]]	401	[[409]]

401 is a prime number from 401-500. 401 has 2 factors, 1 and 401. It is the 79th prime number, and the first prime number from 401-500.

Proofs

1 can divide 401
2 cannot
3 cannot
4 - 400 cannot
401 can!

Relationship with other odd numbers

The numbers before

The previous prime number is 397.
- 397 and 401 are four numbers apart; therefore, they are cousin primes.
The previous prime number before 397 is 389.
- In particular, 391 is not a prime number, because it is the product of 17 and 23.

The numbers after

The next prime number is 409.
- 403 is divisible by 13 and 31, while 407 is divisible by 11 and 37.
419 is the next prime number after 409.
- 413 is the product of 7 and 59.

Trivia

It is the sum of seven consecutive prime (43+47+53+59+61+67+71), and also nine consecutive primes (29+31+37+41+43+47+53+59+61)

Prime Numbers 1-1,000

1-100
1-25	2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 • 23
26-50	29 • 31 • 37 • 41 • 43 • 47
51-75	53 • 59 • 61 • 67 • 71 • 73
76-100	79 • 83 • 89 • 97

101-200
101-125	101 • 103 • 107 • 109 • 113
126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
201-250	211 • 223 • 227 • 229 • 233 • 239 • 241
250-300	251 • 257 • 263 • 269 • 271 • 277 • 281 • 283 • 293
301-350	307 • 311 • 313 • 317 • 331 • 337 • 347 • 349
351-400	353 • 359 • 367 • 373 • 379 • 383 • 389 • 397

401-600
401-450	401 • 409 • 419 • 421 • 431 • 433 • 439 • 443 • 449
450-500	457 • 461 • 463 • 467 • 479 • 487 • 491 • 499
501-550	503 • 509 • 521 • 523 • 541 • 547
551-600	557 • 563 • 569 • 571 • 577 • 587 • 593 • 599

601-800
601-650	601 • 607 • 613 • 617 • 619 • 631 • 641 • 643 • 647
651-700	653 • 659 • 661 • 673 • 677 • 683 • 691
701-750	701 • 709 • 719 • 727 • 733 • 739 • 743
751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
801-850	809 • 811 • 821 • 823 • 827 • 829 • 839
851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997

@@ Line 1: / Line 1: @@
+{{Infobox
+|title = 401
+|image = 401.png
+|imagewidth = 200
+|roman-number = CDI
+|ordinal-number = four hundred and first
+|previous = [[397|<font color="white">397</font>]]
+|next = [[409|<font color="white">409</font>]]|cardinal-number = four hundred and one
+|Base-2 Form = 1 10010001
+|Base-3 Form = 112212
+|Base-4 Form = 12101
+|Base-5 Form = 3101
+|Base-6 Form = 1505
+|Base-7 Form = 1112
+|Base-8 Form = 621
+|Base-9 Form = 485}} 401 is a [http://prime-numbers.wikia.com/wiki/401-500 prime number from 401-500]. 401 has 2 factors, 1 and 401. It is the 79th prime number, and the first prime number from 401-500.
+==Proofs==
+*1 can divide 401
+*2 cannot
+*3 cannot
+*4 - 400 cannot
+*401 can!
+==Relationship with other odd numbers==
+===The numbers before===
+*The previous prime number is 397.
+**397 and 401 are four numbers apart; therefore, they are cousin primes.
+*The previous prime number before 397 is 389.
+**In particular, 391 is not a prime number, because it is the product of 17 and 23.
+===The numbers after===
+*The next prime number is 409.
+**403 is divisible by 13 and 31, while 407 is divisible by 11 and 37.
+*419 is the next prime number after 409.
+**413 is the product of 7 and 59.
+==Trivia==
+*It is the sum of seven consecutive prime (43+47+53+59+61+67+71), and also nine consecutive primes (29+31+37+41+43+47+53+59+61)
+{{Template:Navbox primes 3 digits}}
 [[Category:Prime Numbers]]
 [[Category:Prime Numbers from 401-500]]