Properties of the Number 85760

Eighty-Five Thousand Seven Hundred Sixty

Basics

Value: 85759 → 85760 → 85761

Parity: even

Prime: No

Previous Prime: 85751

Next Prime: 85781

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁸ × 5 × 67

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111100000000

Octal: 247400

Duodecimal: 41768

Hexadecimal: 14f00

Square: 7354777600

Square Root: 292.84808348357

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

From expansion of Belyi function for octahedron. A66405

Integers n such that for all i > n the largest prime factor of product(i+k, {k,0,10}) exceeds the largest prime factor of product(n+k, {k,0,10}). A200568

Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089865/A089866. A89844

G.f.: (1+14·x+x²)³/((1-x))⁴. A113922

Number of (7+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252539

a(n) is the first number k with n prime divisors such that, if m is the next number with n prime divisors, k + m and k - m also have n prime divisors. In each case the divisors are counted with multiplicity. A365834

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 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252532

Prime powers of the form 4n+3. A85760