Properties of the Number 26672

Twenty-Six Thousand Six Hundred Seventy-Two

Basics

Value: 26671 → 26672 → 26673

Parity: even

Prime: No

Previous Prime: 26669

Next Prime: 26681

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 1667

Divisors: 1, 2, 4, 8, 16, 1667, 3334, 6668, 13336, 26672

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100000110000

Octal: 64060

Duodecimal: 13528

Hexadecimal: 6830

Square: 711395584

Square Root: 163.31564530074883

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

Smallest even k such that lpf(k-1) = prime(n), while lpf(k-3) > prime(n), where lpf=least prime factor (A020639). A242489

Expansion of o.g.f. (1/2)*(-1 + 1/sqrt(1 - 4·x - 4·x²)). A179191

a(n) is the number of edges formed by n-secting the angles of an octagon. A335771

Expansion of (theta₃(z)*theta₃(23z) + theta₂(z)*theta₂(23z))⁵. A328093

Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4. A79094

Number of set-systems S composed of nonempty subsets of [n] such that any element k in S appears at most k times. A374453

Composite numbers, not ending with 0, sharing a 3-digit sequence with some of its prime factors. A131523

Numbers k such that (23·10^k + 97)/3 is prime. A282277

T(n,k)=Number of n-step one or two space at a time bishop's tours on a kXk board summed over all starting positions. A187046

a(n) = T(2n,n-1), T given by A026670. Also T(2n,n-1)=T(2n+1,n+2), T given by A026725; and T(2n,n-1), T given by A026736. A26672