Properties of the Number 8120

Eight Thousand One Hundred Twenty

Basics

Value: 8119 → 8120 → 8121

Parity: even

Prime: No

Previous Prime: 8117

Next Prime: 8123

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 29

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111110111000

Octal: 17670

Duodecimal: 4848

Hexadecimal: 1fb8

Square: 65934400

Square Root: 90.11104260855048

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) = 2·binomial(n,3). A7290

Minimal natural number (in decimal representation) with n prime substrings in base-9 representation (substrings with leading zeros are considered to be nonprime). A217309

L.g.f.: L(x,y) = log( ∏_n>=1 1/(1 - (xⁿ + yⁿ)) ), where L(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k / (n+k) such that L(0,0) = 0, as a symmetric square table of coefficients T(n,k) read by antidiagonals starting with T(0,0) = 0. A322200

Growth series for group with presentation < S, T : S² = T³ = (S·T)⁷ = 1 >. A298805

Expansion of ∏_k=1..8 theta₃(q^k), where theta₃() is the Jacobi θ function. A320234

Expansion of 1/(1+2·x*c(x)), c(x) the g.f. of Catalan numbers A000108. A126984

1/3 of product of three numbers: the n-th prime, the previous number and the following number. A127919

Numbers which are both the sum of n+1 consecutive triangular numbers and the sum of the n-1 immediately following triangular numbers. A222716

Irregular table read by rows: The number of k-faced polyhedra, where k >= 4, created when an n-bipyramid, formed from two n-gonal pyraminds joined at the base, is internally cut by all the planes defined by any three of its vertices. A338825

Number of self-dual signed graphs with n nodes. Also number of self-complementary 2-multigraphs on n nodes. A4104