Properties of the Number 26124

Twenty-Six Thousand One Hundred Twenty-Four

Basics

Value: 26123 → 26124 → 26125

Parity: even

Prime: No

Previous Prime: 26119

Next Prime: 26141

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 311

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 110011000001100

Octal: 63014

Duodecimal: 13150

Hexadecimal: 660c

Square: 682463376

Square Root: 161.6292052817188

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

a(n) = A188492(n+1) - A188495(n) - A002527(n). A188496

Triangle of coefficients of polynomials v(n,x) jointly generated with A208765; see the Formula section. A208766

Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1. A35969

Expansion of (1 - t)*(1 + t)^x. A227342

a(n) = (1/2)*A291383(n). A291384

Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically. A253394

Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253697

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698

a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 3, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-2), where T is the array in A026120. A26124