Properties of the Number 26744

Twenty-Six Thousand Seven Hundred Forty-Four

Basics

Value: 26743 → 26744 → 26745

Parity: even

Prime: No

Previous Prime: 26737

Next Prime: 26759

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 3343

Divisors: 1, 2, 4, 8, 3343, 6686, 13372, 26744

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100001111000

Octal: 64170

Duodecimal: 13588

Hexadecimal: 6878

Square: 715241536

Square Root: 163.53592877407704

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 integer partitions of n of odd rank. A340692

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

Least non-balanced x (i.e., not in A020492) such that σ(p(n),x)/φ(x) is an integer, where p(n) = n-th prime. A78540

Numbers k such that 4·10^k-3 is prime. A101398

Numbers k such that 225·2^k+1 is prime. A32489

Expansion of (1-x)^-1/(1-x+x²+2·x³). A77873

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252676

Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252683

Numbers k such that 8·10^k - 67 is prime. A294380