Properties of the Number 26816

Twenty-Six Thousand Eight Hundred Sixteen

Basics

Value: 26815 → 26816 → 26817

Parity: even

Prime: No

Previous Prime: 26813

Next Prime: 26821

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 419

Divisors: 1, 2, 4, 8, 16, 32, 64, 419, 838, 1676

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100011000000

Octal: 64300

Duodecimal: 13628

Hexadecimal: 68c0

Square: 719097856

Square Root: 163.75591592366976

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

T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero. A189498

Number of degree-n permutations such that number of cycles of size k is odd (or zero) for every k. A130263

Composites k such that the concatenation of the prime factors of k, with multiplicity, in some order is divisible by k. A322843

Number of 2Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302368

a(n) = n*(5·n² - 3·n + 4) / 6. A203552

Consecutive states of the linear congruential pseudo-random number generator (1277·s + 24749) mod 117128 when started at s=1. A385357

Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(2,8). A18916

E.g.f. A(x) satisfies A(x) = exp(x·A(x)/A(-x·A(x)⁴)²). A384983

Numbers n such that z(n) and z(n+1) are both prime, where z(n) = a^d + b^d + c^d + ..., where a·b*c* ... is the prime factorization of n and d is the largest digit of n. A109280

Number of arrangements of n+1 nonzero numbers x(i) in -2..2 with the sum of floor(x(i)/x(i+1)) equal to zero. A189491