Properties of the Number 35504

Thirty-Five Thousand Five Hundred Four

Basics

Value: 35503 → 35504 → 35505

Parity: even

Prime: No

Previous Prime: 35491

Next Prime: 35507

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 7 × 317

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000101010110000

Octal: 105260

Duodecimal: 18668

Hexadecimal: 8ab0

Square: 1260534016

Square Root: 188.42505141302203

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

Coefficient array for certain polynomials N(4; k,x) (rising powers in x). A62751

Expansion of (φ(-q³)² / (φ(-q) * φ(-q⁹)))² in powers of q where φ() is a Ramanujan θ function. A227587

a(n) = (2·n³ + 5·n² + 11·n)/2. A162263

Number of length-4 0..n arrays with no following elements larger than the first repeated value. A267472

Numbers k such that A003105(k) is divisible by k. A304047

Dimension of space of equivariant linear maps from R^n³ to R^n³ under diagonal action of {-1, 1}ⁿ. A370649

Numbers that eventually reach 1 under "x -> sum of cubes of digits of x". A35504

Array read by antidiagonals: T(n,k) (n>=1, k>=1) = number of ways to select four points from an n X k grid so that three of them form a triangle of nonzero area and the extra point is strictly inside the triangle. A334709

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234722

Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234723