Properties of the Number 42961

Forty-Two Thousand Nine Hundred Sixty-One

Basics

Value: 42960 → 42961 → 42962

Parity: odd

Prime: Yes

Previous Prime: 42953

Next Prime: 42967

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 42961

Divisors: 1, 42961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011111010001

Octal: 123721

Duodecimal: 20A41

Hexadecimal: a7d1

Square: 1845647521

Square Root: 207.27035485085656

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 form n² + 28561. A256841

Half-quartan primes: primes of the form p = (x⁴ + y⁴)/2. A2646

Primes equal to an octagonal number plus 1. A285792

Indices where Mertens function A002321 reaches record amplitudes between zeros. A304241

Triangle read by rows: T(n,k) = A022167(n,k)*n!/binomial(n,k) + 1 - n!. A176418

Numbers k such that (RSA-768) + 10^k is prime where RSA-768 is the 232 decimal digit RSA challenge number A391940(21). A113928

Number of 2 X 2 matrices having all terms in {1,...,n} and determinant in the closed interval [0,n]. A211057

Prime numbers p such that 3·p - 2 is the square of a prime number. A289135

Expansion of ∏_n>=1 (1 + H(xⁿ)) where H(x) is the g.f. of A000081. A244519

Primes of the form x² + y² with x > y such that x² - y² is a square and x⁴ + y⁴ is a prime. A282867