Properties of the Number 26251

Twenty-Six Thousand Two Hundred Fifty-One

Basics

Value: 26250 → 26251 → 26252

Parity: odd

Prime: Yes

Previous Prime: 26249

Next Prime: 26261

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 26251

Divisors: 1, 26251

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011010001011

Octal: 63213

Duodecimal: 13237

Hexadecimal: 668b

Square: 689115001

Square Root: 162.0216034978052

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 that are the sum of 11 positive 8th powers. A3389

Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts. A379720

Number of partitions of n into >= 2 parts and with minimum part >= 2. A83751

Balanced primes of order ten. A96702

Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3. A385188

Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes. A237440

E.g.f. satisfies A(x) = exp(x + x⁴/4·A(x)⁴). A362491

Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,4} for all i=1,...,n. A376743

Primes in which the unit place digit is 1 and the k-th most significant digit is prime (2,3,5,7) if k is prime else is composite (4,6,8,9,0). A89704

a(n) = 42·n² + 1. A158604