Properties of the Number 40961

Forty Thousand Nine Hundred Sixty-One

Basics

Value: 40960 → 40961 → 40962

Parity: odd

Prime: Yes

Previous Prime: 40949

Next Prime: 40973

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 40961

Divisors: 1, 40961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000000000001

Octal: 120001

Duodecimal: 1B855

Hexadecimal: a001

Square: 1677803521

Square Root: 202.38824076511955

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes of the form 2ⁱ + 2^j + 1, i > j > 0. A81091

a(0) = 6; for n>0, a(n) = 2·a(n-1) - 1. A83575

Primes of the form 10·n³ + 1. A168147

Primes p of the form of the form q·2^h + 1, where q is one of the Fermat primes; Primes p for which A329697(p) == 2. A334092

Smallest prime of form 2ⁿ*k + 1. A35089

a(n) is the least prime p such that p-1 is divisible by 2ⁿ and not by 2ⁿ⁺¹. A57775

Primes of the form 2^r*5^s + 1. A77497

Prime factors of generalized Fermat numbers of the form 12^{2^m} + 1 with m >= 0. A273950

Primes of the form 512·k+1. A76339

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023