Properties of the Number 8015

Eight Thousand Fifteen

Basics

Value: 8014 → 8015 → 8016

Parity: odd

Prime: No

Previous Prime: 8011

Next Prime: 8017

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 × 229

Divisors: 1, 5, 7, 35, 229, 1145, 1603, 8015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111101001111

Octal: 17517

Duodecimal: 477B

Hexadecimal: 1f4f

Square: 64240225

Square Root: 89.52653238007156

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 of partitions of an n-set without blocks of size 3. A124504

Number of solutions to c(1)*prime(1) + ... + c(n)*prime(n) = 1, where c(i) = +-1 for i > 1, c(1) = 1. A22895

Triangle T = A007318·A271703; T(n,m)= ∑_i=0..n L'(n,i)*binomial(i,m), m=0..n. A59110

The minimal number which has multiplicative persistence 8 in base n. A64872

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

Coefficients of xⁿ in the n-th iteration of x/(1-x)² for n>=1. A119821

Triangle read by rows: T(n,k) is the number of set partitions of the set {1,2,...,n} (or of any n-set) containing k blocks of size 3 (0<=k<=floor(n/3)). A124503

G.f. A(x) satisfies x = A( x - A(x)⁴/x² ). A376176

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of (B(x)/x)^k, where B(x) is the g.f. of A376176. A384621

a(n)=∑_{j = 0..n} binomial(φ(n),φ(j)). A73317