Properties of the Number 35857

Thirty-Five Thousand Eight Hundred Fifty-Seven

Basics

Value: 35856 → 35857 → 35858

Parity: odd

Prime: No

Previous Prime: 35851

Next Prime: 35863

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 23 × 1559

Divisors: 1, 23, 1559, 35857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110000010001

Octal: 106021

Duodecimal: 18901

Hexadecimal: 8c11

Square: 1285724449

Square Root: 189.3594465560142

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

Triangle read by rows: T(n,k) (0 <= k <= floor(n/2)) is the number of Delannoy paths of length n, having k EE's crossing the line y = x (i.e., two consecutive E steps from the line y = x+1 to the line y = x-1). A110121

Row 4 of array in A047666. A47668

Number of subsets of {1, 2, ..., n} such that the sum of the reciprocals is strictly less than 1. A305442

Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235182

Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235183

Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235184

Number of (n+1) X (7+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235185

Coordination sequence for A₃₁ lattice. A35857