Properties of the Number 67716

Sixty-Seven Thousand Seven Hundred Sixteen

Basics

Value: 67715 → 67716 → 67717

Parity: even

Prime: No

Previous Prime: 67709

Next Prime: 67723

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 11 × 19

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000100010000100

Octal: 204204

Duodecimal: 33230

Hexadecimal: 10884

Square: 4585456656

Square Root: 260.2229813064173

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

Expansion of ∏_k>=1 (1 - x^k)¹². A735

Fixed points in A376198. A376201

Number of polyiamonds with n cells, without holes. A70765

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

T(n,k)=Number of nXk 0..6 arrays with no element equal to another within a city block distance of two, and new values 0..6 introduced in row major order. A206389

Number of cycles of length 3 in the queen graph associated with an n X n chessboard. A144298

Product of sexagesimal digits of Fibonacci numbers in base-60 representation. A261598

Number of n X 4 0..6 arrays with no element equal to another within a city block distance of two, and new values 0..6 introduced in row major order. A206385

a(n) = n*(6·n⁴ + 8·n³ + 1 - (-1)ⁿ)/16. A374709

G.f. A(x) satisfies A(x)² = A( x² + 2·x*A(x)² + 2·A(x)⁴ ). A378247