Properties of the Number 68772

Sixty-Eight Thousand Seven Hundred Seventy-Two

Basics

Value: 68771 → 68772 → 68773

Parity: even

Prime: No

Previous Prime: 68771

Next Prime: 68777

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 × 521

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110010100100

Octal: 206244

Duodecimal: 33970

Hexadecimal: 10ca4

Square: 4729587984

Square Root: 262.24416104081325

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

Numbers that are the sum of seven fourth powers in exactly ten ways. A345832

Coordination sequence for A₁₁ lattice. A35837

Number of integer sequences of length n+1 with sum zero and sum of absolute values 6. A157052

a(n) = 4*(n - 1)*(16·n - 23) for n >= 1. A304378

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252315

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-1)/2. A47177

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-2)/2. A47188

Square array T(n,k) (n >= 1, k >= 0) read by antidiagonals: coordination sequence for root lattice A_n. A103881

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252321

Generalized Catalan numbers 10·x*A(x)² -A(x) +1 -9·x =0. A68772