Properties of the Number 15606

Fifteen Thousand Six Hundred Six

Basics

Value: 15605 → 15606 → 15607

Parity: even

Prime: No

Previous Prime: 15601

Next Prime: 15607

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 17 ²

Divisors: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011110110

Octal: 36366

Duodecimal: 9046

Hexadecimal: 3cf6

Square: 243547236

Square Root: 124.92397688194208

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

Triangle in which the g.f. for row n is [∑_k>=0 C(n+k-1,k)³*x^k]*(1-x)³ⁿ⁺¹, read by rows of k=0..2n terms. A181544

Irregular triangle read by rows: T(n,k) = ∑_i=0..k (-1)ⁱ * binomial(6·n+1,i) * binomial(k+6-i,6)ⁿ, 0 <= k <= 6*(n-1). A237252

Number of 2 X 2 planar subsets in an n X n X n cube. A270205

Sum of the largest parts of the partitions of n into 8 squarefree parts. A326452

Numbers k such that sopfr(k) = sopfr(k - sopfr(k)). A50781

Number of (w,x,y) with all terms in {0,...,n} and 2·max(w,x,y) > 3·min(w,x,y). A213393

a(n) = ∑_k=1..n σ( (n/gcd(k,n))² ). A372227

Number of permutations of 6 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order. A151651

Number of (n+2) X 3 binary arrays avoiding patterns 001 and 101 in rows and columns. A202195

Pairs of Pythagorean numbers differing by 6. A228875