Properties of the Number 68472

Sixty-Eight Thousand Four Hundred Seventy-Two

Basics

Value: 68471 → 68472 → 68473

Parity: even

Prime: No

Previous Prime: 68449

Next Prime: 68473

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 317

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101101111000

Octal: 205570

Duodecimal: 33760

Hexadecimal: 10b78

Square: 4688414784

Square Root: 261.6715498482783

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

G.f. A(x) satisfies A(x) = 1 + x/A(-x·A(x)³)³. A384898

a(n) = ∑_k=1..n k^ω(k). A347616

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384898. A384903

Number of (n+1) X (7+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251136

Number of n X n binary matrices with every 1 having at most 3 adjacent 1's. A68472