Properties of the Number 35872

Thirty-Five Thousand Eight Hundred Seventy-Two

Basics

Value: 35871 → 35872 → 35873

Parity: even

Prime: No

Previous Prime: 35869

Next Prime: 35879

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 19 × 59

Divisors: 1, 2, 4, 8, 16, 19, 32, 38, 59, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110000100000

Octal: 106040

Duodecimal: 18914

Hexadecimal: 8c20

Square: 1286800384

Square Root: 189.39904962802743

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 no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors. A231515

a(n) = (n - 1)*(n² + n - 1). A33445

Positive numbers of the form x⁵-10x³*y²+5x·y⁴ (where x,y are integers and y>x). A135792

Numbers of the form x⁵-10x³*y²+5x·y⁴ (where x,y are integers). A135793

Number of 1-2-3-4-5-6 trees with n edges and with thinning limbs. A 1-2-3-4-5-6 tree is an ordered tree with vertices of outdegree at most 6. A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children. A124501

a(n) = (3 + 2·n - 3·n² + 4·n³ - 3*((-1 + n) mod 2))/6. A304487

Sum of Gaussian binomial coefficients for q=13. A15201

Number of (w,x,y) with all terms in {0,...,n} and 2*|w-x| > max(w,x,y) - min(w,x,y). A213045

Number of subgroups of the group C_n x C_n x C_n x C_n, where C_n is the cyclic group of order n. A280162

Number of nX3 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors. A231510