Changes: 239

Revision as of 21:36, 4 November 2017

239

Basic Information

Cardinal Number

two hundred and thirty-nine

Ordinal Number

two hundred and thirty ninth

Roman Numeral

CCXXXIX

Greek Numeral

ΣΛΘ´

Factorization

239

Different Representations

Binary Form

11101111₂

Ternary Form

22212₃

Quaternary Form

3233₄

Quinary Form

1424₅

Senary Form

1035₆

Septenary Form

461₇

Octal Form

357₈

Nonary Form

285₉

Undecimal Form

1A8₁₁

Duodecimal Form

17B₁₂

Tridecimal Form

155₁₃

Quattuordecimal Form

131₁₄

Quindecimal Form

10E₁₅

Hexadecimal Form

EF₁₆

Septendecimal Form

E1₁₇

Octodecimal Form

D5₁₈

Novemdecimal Form

CB₁₉

Vigesimal Form

BJ₂₀

Unvigesimal Form

B8₂₁

Duovigesimal Form

AJ₂₂

Trevigesimal Form

A9₂₃

Quattuorvigesimal Form

9N₂₄

Quinvigesimal Form

9E₂₅

Hexavigesimal Form

95₂₆

Septenvigesimal Form

8N₂₇

Octovigesimal Form

8F₂₈

Novemvigesimal Form

87₂₉

Trigesimal Form

7T₃₀

Untrigesimal Form

7M₃₁

Duotrigesimal Form

7F₃₂

Tretrigesimal Form

78₃₃

Quattuortrigesimal Form

71₃₄

Quintrigesimal Form

6T₃₅

Hexatrigesimal Form

6N₃₆

Previous	Current	Next
233	239	241

239 is a prime number from 201-300. 239 has 2 factors, 1 and 239. It is the 52nd prime number, and the sixth prime number from 201-300.

Proofs

— 239 can be divided by 1.

— 239 cannot be divided by 2-238.

— 239 can be divided by 239.

As an Exponent of Mersenne Number

2²³⁹ - 1 is divisible by numbers such as 479, 1,913, 5,737, 176,383, and 134,000,609, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous prime number is 233.
- 233 and 239 are six numbers apart; therefore, they are sexy primes.
The previous prime number before 233 is 229.
- Notably, 231 is divisible by 11 and therefore not a prime number.
- 237 is divisible by 3.

The numbers after

The next prime number is 241.
- There are no odd numbers between 239 and 241. As a result, they are twin primes.
251 is the next prime number after 241.
- Notably, 243 is the fifth power of 3, 247 can be factored as 13 x 19, and 249 is divisible by 3.

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 5: / Line 5: @@
 |roman-number = CCXXXIX
 |ordinal-number = two hundred and thirty ninth
-|previous = [[233|<font color="white">233</font>]]
+|previous = 233
+|next = 241|cardinal-number = two hundred and thirty-nine
-|next = [[241|<font color="white">241</font>]]}}239 is a [http://prime-numbers.wikia.com/wiki/201-300 prime number from 201-300]. 239 has 2 factors, 1 and 239. It is the 52nd prime number, and the sixth prime number from 201-300.
+|Base-2 Form = 11101111
+|Base-8 Form = 357
+|Base-16 Form = EF
+}}239 is a [http://prime-numbers.wikia.com/wiki/201-300 prime number from 201-300]. 239 has 2 factors, 1 and 239. It is the 52nd prime number, and the sixth prime number from 201-300.
 ==Proofs==
+*{{Divisibility number|Yes|1.}}
-*1 can divide 239
+*{{Divisibility number|No|2-238.}}
-*2 cannot
+*{{Divisibility number|Yes|{{PAGENAME}}.}}
-*3 cannot
+==As an Exponent of Mersenne Number==
-*4 - 238 cannot
+<sup>239</sup> - 1 is divisible by numbers such as [[479]], [[1,913]], [[5,737]], [[176,383]], and 134,000,609, and is therefore not a prime number.
-*239 can!
 ==Relationship with other odd numbers==
 ===The numbers before===
@@ Line 19: / Line 24: @@
 *The previous prime number before 233 is 229.
 **Notably, 231 is divisible by 11 and therefore not a prime number.
+**[[237]] is divisible by 3.
 ===The numbers after===
 *The next prime number is 241.
 **There are no odd numbers between 239 and 241. As a result, they are twin primes.
 *251 is the next prime number after 241.
-**Notably, 243 is the fifth power of 3, 247 can be factored as 13 x 17, and 249 is divisible by 3.
+**Notably, 243 is the fifth power of 3, 247 can be factored as 13 x 19, and 249 is divisible by 3.
 {{Template:Navbox primes 3 digits}}
 [[Category:Prime Numbers]]
 [[Category:Prime Numbers from 201-300]]
 [[Category:3-Digit Prime Numbers]]
+[[Category:Twin Primes]]
+[[Category:Sexy Primes]]
+[[Category:Chen Primes]]