Properties of the Number 9935

Nine Thousand Nine Hundred Thirty-Five

Basics

Value: 9934 → 9935 → 9936

Parity: odd

Prime: No

Previous Prime: 9931

Next Prime: 9941

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 1987

Divisors: 1, 5, 1987, 9935

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011001111

Octal: 23317

Duodecimal: 58BB

Hexadecimal: 26cf

Square: 98704225

Square Root: 99.67447015158896

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 of non-isomorphic aperiodic multiset partitions of weight n. A303546

G.f. A(x) satisfies: [x^n-1] A(x)^n² = (n²)^n-1 for n>=1. A294360

Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239852

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0110-0110-1111 pattern in any orientation. A147357

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 0), (1, 0, 0), (1, 1, -1)}. A148616

Coordination sequence for MgNi2, Position Mg2. A9935

Number of n X 6 nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A252834