Properties of the Number 26501

Twenty-Six Thousand Five Hundred One

Basics

Value: 26500 → 26501 → 26502

Parity: odd

Prime: Yes

Previous Prime: 26497

Next Prime: 26513

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 26501

Divisors: 1, 26501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011110000101

Octal: 63605

Duodecimal: 13405

Hexadecimal: 6785

Square: 702303001

Square Root: 162.7912774076056

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 6 nonzero 8th powers. A3384

Number of partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts). A101707

G.f. A(x) satisfies: ∑_n>=0 xⁿ*A(x)^3·n/(1 - x·A(x)ⁿ) = ∑_n>=0 xⁿ*A(x)ⁿ/(1 - x·A(x)^3·n+2). A340895

Rectangular table of coefficients T(k,n) in row functions R(k,x) = ∑_n>=0 T(k,n)*xⁿ that satisfy the condition: ∑_n>=0 xⁿ/(1 - x·R(k,x)^n+k) = ∑_n>=0 xⁿ*R(k,x)ⁿ/(1 - x·R(k,x)^k·n+k-1), for k >= 0, read here by antidiagonals. A340940

Primes of the form 3·m² - 7. A201718

Primes p such that, if q,r,s are the next three primes, both p·q*r·s - (p+q+r+s) and p·q*r·s + (p+q+r+s) are primes. A390929

Primitive terms of A338890. A338892

Numbers k such that the continued fraction for sqrt(k) has period 93. A20432

Primes of the form 250n + 1. A179231

Number of nondecreasing arrangements of n+2 numbers in 0..4 with each number being the sum mod 5 of two others. A183907