Properties of the Number 15228

Fifteen Thousand Two Hundred Twenty-Eight

Basics

Value: 15227 → 15228 → 15229

Parity: even

Prime: No

Previous Prime: 15227

Next Prime: 15233

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 47

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11101101111100

Octal: 35574

Duodecimal: 8990

Hexadecimal: 3b7c

Square: 231891984

Square Root: 123.4017828072188

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

3 times 10-gonal (or decagonal) numbers: a(n) = 3·n*(4·n-3). A152767

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283726

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Coefficient of x² in the polynomial (x-p(n))*(x-p(n+1))*(x-p(n+2))*(x-p(n+3)), where p(k) is the k-th prime. A127348

Expansion of ∏_n>=1 ((1 + (8·x)ⁿ)/(1 - (8·x)ⁿ))^1/8. A303381

-1 + ∏_n>=1 1/(1 + a(n)*xⁿ) = g.f. of A000040 (prime numbers). A305882

Number of symmetry classes of 3 X 3 semimagic squares with distinct positive values < n. A173723

Number of subsets of {1,...,n} containing two elements whose difference is 2. A209398

Number of permutations of [n] where the length of the longest increasing subsequence is larger than the length of the longest decreasing subsequence. A321314

McKay-Thompson series of class 40B for the Monster group. A112179