Properties of the Number 35561

Thirty-Five Thousand Five Hundred Sixty-One

Basics

Value: 35560 → 35561 → 35562

Parity: odd

Prime: No

Previous Prime: 35543

Next Prime: 35569

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 43 × 827

Divisors: 1, 43, 827, 35561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101011101001

Octal: 105351

Duodecimal: 186B5

Hexadecimal: 8ae9

Square: 1264584721

Square Root: 188.57624452724684

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 nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1s. A296405

Row sums of triangle A141155. A141156

Expansion of ∏_{k > 0} (1 + f(k)*x^k), where f(n) = A147952(n). A147953

Least number·such that xⁿ has n digits equal to k. Case k = 1. A285448

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,1}. A79994

Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1s. A296402

Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300771

Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1's. A296398

Number of partitions of n with equal number of parts congruent to each of 3 and 4 (mod 5). A35561