Properties of the Number 78117

Seventy-Eight Thousand One Hundred Seventeen

Basics

Value: 78116 → 78117 → 78118

Parity: odd

Prime: No

Previous Prime: 78101

Next Prime: 78121

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 2003

Divisors: 1, 3, 13, 39, 2003, 6009, 26039, 78117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100100101

Octal: 230445

Duodecimal: 39259

Hexadecimal: 13125

Square: 6102265689

Square Root: 279.4941859860416

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 k such that k² divides 22^k-1. A128402

Triangle read by rows, coefficients of the generalized Eulerian polynomials A_{n, 4}(x) in descending order. A225118

Irregular triangle of coefficients of p(n, x) = (1 - x²)ⁿ⁺¹*∑_{j >= 0} (4·j+ 1)ⁿ*x^2·j, read by rows. A158782

Monotonic ordering of nonnegative differences 5ⁱ-8^j, for 40>= i>=0, j>=0. A192197

Numbers of the form |a^b - c^d| where a, b, c and d are the first 4 primes. A168385

Number of nXnXn 0..6 triangular arrays with each element·equal to the number its neighbors equal to 4,6,1,0,1,0,1 for x=0,1,2,3,4,5,6. A198024

Let u(1)=n, u(2)=n+1, v(1)=n+2, v(2)=n+3, u(k)=abs(u(k-1)-v(k-2)), v(k)=abs(v(k-1)-u(k-2)), then a(n) is the smallest integer such that for any k>=a(n), v(k)=u(k). A78117