Properties of the Number 25577

Twenty-Five Thousand Five Hundred Seventy-Seven

Basics

Value: 25576 → 25577 → 25578

Parity: odd

Prime: Yes

Previous Prime: 25561

Next Prime: 25579

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 25577

Divisors: 1, 25577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001111101001

Octal: 61751

Duodecimal: 12975

Hexadecimal: 63e9

Square: 654182929

Square Root: 159.928108848945

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern. A78847

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

Primes that contain only the digits (2, 5, 7). A214705

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

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 neighboring 1. A296320

Primes p such that (p, p+2, p+6, p+12) is a prime quadruple. A172454

Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. A298050

Primes of the form 1+2·n+3·n². A122430

Primes with prime number of only prime digits (i.e., 2, 3, 5, 7). A124888

Numbers k such that the continued fraction for sqrt(k) has period 67. A20406