Properties of the Number 8155

Eight Thousand One Hundred Fifty-Five

Basics

Value: 8154 → 8155 → 8156

Parity: odd

Prime: No

Previous Prime: 8147

Next Prime: 8161

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 233

Divisors: 1, 5, 7, 35, 233, 1165, 1631, 8155

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111011011

Octal: 17733

Duodecimal: 4877

Hexadecimal: 1fdb

Square: 66504025

Square Root: 90.30503861911582

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

Number A(n,k) of partitions of the (n+k)-multiset {1,2,...,n,1,2,...,k}; square array A(n,k), n>=0, k>=0, read by antidiagonals. A346500

Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k). A96926

Array read by upwards antidiagonals: T(m,n) = number of set partitions of the multiset consisting of one copy each of x₁, x₂, ..., x_m, and two copies each of y₁, y₂, ..., y_n, for m >= 0, n >= 0. A322765

Least nontrivial multiple of the n-th prime beginning with 8. A78292

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A305175

Expansion of ∏_k>=1 1 / (1 - x^k)^{4^(k-1}). A343349

Expansion of ∏_k>=1 1 / (1 - x^k)^{9^(k-1}). A343354

Expansion of φ(-x⁶) / f(-x) in powers of·where φ(), f() are Ramanujan θ functions. A271661

Number of partitions of n into Lucas parts (A000032). A67593

n times n+4 gives the concatenation of two numbers m and m-8. A116235