Properties of the Number 87696

Eighty-Seven Thousand Six Hundred Ninety-Six

Basics

Value: 87695 → 87696 → 87697

Parity: even

Prime: No

Previous Prime: 87691

Next Prime: 87697

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 7 × 29

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011010010000

Octal: 253220

Duodecimal: 42900

Hexadecimal: 15690

Square: 7690588416

Square Root: 296.13510430207356

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

a(n) = Pell(n)*A008655(n) for n>=1, with a(0)=1, where A008655 lists the coefficients in (theta₃(x)*theta₃(3·x)+theta₂(x)*theta₂(3·x))⁴. A209448

Numbers with prime factorization pqr^3s^4. A190294

Imaginary part of (n + i)⁴. A272871

a(n) = coefficient of x^4·n+1/(4·n+1)! in power series S(x) = Series_Reversion( Integral 1/(1 + x⁴)^3/2 dx ). A357804

Integers m that satisfy τ(m) + ω(m) = #({φ(x) = m}). A305656

Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^k * [m^k] (1/2^m-n) * ∑_k=0..m kⁿ * (-1)^m * 3^m-k * binomial(m,k). A383149

Expansion of (theta₃(z⁴)³ + theta₂(z⁴)³)³. A28696

(-1)-σ super perfect numbers: (-1)σ((-1)σ(x))=2·x, where if x=Product p(i)^r(i) then (-1)σ(x)=Product (-1+Sum p(i)^s(i), s(i)=1 to r(i)); (-1)σ(1)=1. A51153

Number of 8-step one space at a time bishop's tours on an n X n board summed over all starting positions. A187161

A triangular sequence based on the first level sum of polynomial coefficients: p(x,n,m)=(1 - x)^{n + m + 1}*Sum[k^{n - 1}*(1 - k)^{m - 1}*x^k, {k, 0, Infinity}]/4. A168217