Properties of the Number 17056

Seventeen Thousand Fifty-Six

Basics

Value: 17055 → 17056 → 17057

Parity: even

Prime: No

Previous Prime: 17053

Next Prime: 17077

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 13 × 41

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 41, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001010100000

Octal: 41240

Duodecimal: 9A54

Hexadecimal: 42a0

Square: 290907136

Square Root: 130.59862173851607

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

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum. A257361

Denominators of convergents to π by Farey fractions. A63673

Expansion of g.f. A(x) satisfying 0 = ∑_k=0..n (-1)^k * binomial(2·n-k,k) * ([x^k] A(x)ⁿ) for n >= 1. A375450

Number of partitions of n into parts but with two kinds of parts of sizes 1 to 10. A103929

Number of permutations of length n with no consecutive triples i,i+d,i+2d (mod n) for all d. A174081

a(n) = 10·a(n-1) - 12·a(n-2) for n > 1; a(0) = 1, a(1) = 4 . A152599

G.f. A(x) satisfies: 1 = ...(((((A(x) - x²)^1/2 - x³)^1/2 - x⁴)^1/2 - x⁵)^1/2 - x⁶)^1/2 -...- xⁿ)^1/2 -..., an infinite series of nested square roots. A275691

Sum{T(i,n-i): i=0,1,...,n}, array T as in A047140. A47141

Integers that are Rhonda numbers to more than one base. A100988

Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum. A257353