341 (number)

← 340 341 342 →
Cardinalthree hundred forty one
Ordinal341st (three hundred forty-first)
Factorization11 × 31
Divisors1, 11, 31, 341
Greek numeralΤΜΑ´
Roman numeralCCCXLI
Binary1010101012
Ternary1101223
Senary13256
Octal5258
Duodecimal24512
Hexadecimal15516

341 (three hundred [and] forty-one) is the natural number following 340 and preceding 342.

In mathematics

341 is an octagonal number,[1] a centered cube number[2] and a super-Poulet number.[3] It is the sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61). 341 is a palindrome and repdigit in bases 2 (1010101012), 4 (111114), 8 (5258), 17 (13117) and 30 (BB30).[4]

341 is the smallest Fermat pseudoprime;[5][6] it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "bm−1 − 1 is divisible by m", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.[7]

References

  1. ↑ Vanovschi, Vitalii. "Properties of the number 314". www.numberempire.com. Retrieved 2026-07-22.
  2. ↑ Sloane, N. J. A. (ed.). "Sequence A005898 (Centered cube numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "Sequence A050217 (Super-Poulet numbers: Poulet numbers whose divisors d all satisfy d|2^d-2.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ↑ "The Positive Integer 341". www.positiveintegers.org. Retrieved 2026-08-21.
  5. ↑ "What's Special About This Number?". erich-friedman.github.io. Retrieved 2026-08-20.
  6. ↑ Koninck, J. M. de (2009). Those fascinating numbers. Internet Archive. Providence, R.I. : American Mathematical Society. p. 76. ISBN 978-0-8218-4807-4.
  7. ↑ Sloane, N. J. A. (ed.). "Sequence A001567 (Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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