Properties of the Number 61441

Sixty-One Thousand Four Hundred Forty-One

Basics

Value: 61440 → 61441 → 61442

Parity: odd

Prime: Yes

Previous Prime: 61417

Next Prime: 61463

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 61441

Divisors: 1, 61441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000000000001

Octal: 170001

Duodecimal: 2B681

Hexadecimal: f001

Square: 3774996481

Square Root: 247.87295132789296

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

Numbers n such that (23ⁿ - 1)/22 is prime. A204940

a(n) = 15·2ⁿ⁺¹ + 1. A195744

Primes of the form 512·k+1. A76339

Elite primes: a prime number p is called elite if only a finite number of Fermat numbers 2^2ⁿ+1 are quadratic residues mod p. A102742

Primes having only {1, 4, 6} as digits. A260269

Primes p for which A329697(p) == 3. A334093

A132749 * [1, 2, 3, ...] = A007318·A065190. A132750

Primes of the form 2^j - 2^k + 1, where j > k >= 0. A152449

Primes of the form 15·2^k + 1. A195745

a(n) = 60·n² + 1. A158673