Changes: 241

Revision as of 10:47, 25 July 2016

241

Basic Information

Cardinal Number

two hundred and forty-one

Ordinal Number

two hundred and forty first

Roman Numeral

CCXLI

Greek Numeral

ΣΜΑ´

Factorization

241

Different Representations

Binary Form

11110001₂

Ternary Form

22221₃

Quaternary Form

3301₄

Quinary Form

1431₅

Senary Form

1041₆

Septenary Form

463₇

Octal Form

361₈

Nonary Form

287₉

Undecimal Form

1AA₁₁

Duodecimal Form

181₁₂

Tridecimal Form

157₁₃

Quattuordecimal Form

133₁₄

Quindecimal Form

111₁₅

Hexadecimal Form

F1₁₆

Septendecimal Form

E3₁₇

Octodecimal Form

D7₁₈

Novemdecimal Form

CD₁₉

Vigesimal Form

C1₂₀

Unvigesimal Form

BA₂₁

Duovigesimal Form

AL₂₂

Trevigesimal Form

AB₂₃

Quattuorvigesimal Form

A1₂₄

Quinvigesimal Form

9G₂₅

Hexavigesimal Form

97₂₆

Septenvigesimal Form

8P₂₇

Octovigesimal Form

8H₂₈

Novemvigesimal Form

89₂₉

Trigesimal Form

81₃₀

Untrigesimal Form

7O₃₁

Duotrigesimal Form

7H₃₂

Tretrigesimal Form

7A₃₃

Quattuortrigesimal Form

73₃₄

Quintrigesimal Form

6V₃₅

Hexatrigesimal Form

6P₃₆

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239	241	251

241 is a prime number from 201-300. 241 has 2 factors, 1 and 241. It is the 53rd prime number, and the seventh prime number from 201-300.

Proofs

— 241 can be divided by 1.

— 241 cannot be divided by 2-240.

— 241 can be divided by 241.

As an Exponent of Mersenne Number

2²⁴¹ - 1 is divisible by 22,000,409, and 134,000,609, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous prime number is 239.
- There are no odd numbers between 239 and 241. As a result, they are twin primes.
The previous prime number before 239 is 233.

The numbers after

The next prime number is 251.
- Notably, 243 is the fifth power of 3, 247 can be factored as 13 x 19, and 249 is divisible by 3.
257 is the next prime number after 251.
- In particular, 253 is divisible by 11 and 23.

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 10: / Line 10: @@
 |Base-8 Form = 361
 |Base-16 Form = F1
+}}
-}}241 is a [http://prime-numbers.wikia.com/wiki/201-300 prime number from 201-300]. 241 has 2 factors, 1 and 241. It is the 53rd prime number, and the seventh prime number from 201-300.
+is a [http://prime-numbers.wikia.com/wiki/201-300 prime number from 201-300]. 241 has 2 factors, 1 and 241. It is the 53rd prime number, and the seventh prime number from 201-300.
 ==Proofs==
 *{{Divisibility number|Yes|1.}}
 *{{Divisibility number|No|2-240.}}
 *{{Divisibility number|Yes|{{PAGENAME}}.}}
+==As an Exponent of Mersenne Number==
+<sup>241</sup> - 1 is divisible by [[22,000,409]], and 134,000,609, and is therefore not a prime number.
 ==Relationship with other odd numbers==
 ===The numbers before===