Properties of the Number 42461

Forty-Two Thousand Four Hundred Sixty-One

Basics

Value: 42460 → 42461 → 42462

Parity: odd

Prime: Yes

Previous Prime: 42457

Next Prime: 42463

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 42461

Divisors: 1, 42461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010111011101

Octal: 122735

Duodecimal: 206A5

Hexadecimal: a5dd

Square: 1802936521

Square Root: 206.0606706773517

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

Prime numbers p such that x² + x + p produces primes for x = 0..3 but not x = 4. A210362

Primes dividing terms of A231830. A362252

Sequence shifts left five places under Weigh transform with a(n) = signum(n) for n<5. A316077

Numbers k such that C(k+2,2) divides 2^k+1 - 1. A246636

Numerator of the rational sequence c(n) defined by c(n+1) - 2·c(n) = Bernoulli number B_n (A027641/A027642). A172032

Primes p such that (p²+2)/3 and (p⁴+2)/3 are prime. A256811

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 or 00000101. A259765

Primes p such that Euler(p, 1) is an integer multiple of Bernoulli(p + 1, 1). A341759

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 82. A31670

Primes that are exactly between the nearest square and the nearest triangular number. A233443