Properties of the Number 35816

Thirty-Five Thousand Eight Hundred Sixteen

Basics

Value: 35815 → 35816 → 35817

Parity: even

Prime: No

Previous Prime: 35809

Next Prime: 35831

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 11 ² × 37

Divisors: 1, 2, 4, 8, 11, 22, 37, 44, 74, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000101111101000

Octal: 105750

Duodecimal: 18888

Hexadecimal: 8be8

Square: 1282785856

Square Root: 189.25115587493778

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

Number T(n,k) of permutations p of [n] with no fixed points such that |{ j : |p(j)-j| = 1 }| = k; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. A323671

a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2). A26037

Number of (n+4) X 7 0..1 matrices with each 5 X 5 subblock idempotent. A224685

a(n) = T(2n,n), where T is the array defined in A025564. A25570

a(n) = T(n,[ n/2 ]), where T is the array defined in A025564. A25575

Coordination sequence for lattice D*_62 (with edges defined by l₁ norm = 1). A35816