Properties of the Number 26513

Twenty-Six Thousand Five Hundred Thirteen

Basics

Value: 26512 → 26513 → 26514

Parity: odd

Prime: Yes

Previous Prime: 26501

Next Prime: 26539

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 26513

Divisors: 1, 26513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011110010001

Octal: 63621

Duodecimal: 13415

Hexadecimal: 6791

Square: 702939169

Square Root: 162.82813024781683

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

Number of solutions to k₁ + 2·k₂ + ... + n·k_n = 0, where k_i are from {-1,0,1}, i=1..n. A7576

T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222522

Primes p such that q-p = 26, where q is the next prime after p. A124594

Half-quartan primes: primes of the form p = (x⁴ + y⁴)/2. A2646

Number of partitions of n into 9 or more distinct parts. A347576

Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 0110 (n,k >= 0). A118890

Largest coefficient in expansion of ∏_i=1..n (1 + qⁱ + q²ⁱ). A39826

Column l=3 of irregular triangle in A133709. A133710

Numbers that are the smallest of four consecutive primes, no three of which sum to a nonprime. A298763

Number of binary sequences of length n containing exactly one subsequence 0110. A118892