Properties of the Number 75135

Seventy-Five Thousand One Hundred Thirty-Five

Basics

Value: 75134 → 75135 → 75136

Parity: odd

Prime: No

Previous Prime: 75133

Next Prime: 75149

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 5009

Divisors: 1, 3, 5, 15, 5009, 15027, 25045, 75135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010101111111

Octal: 222577

Duodecimal: 37593

Hexadecimal: 1257f

Square: 5645268225

Square Root: 274.1076430893528

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 multisets of positive integers whose right half (exclusive) sums to n. A360673

Row sums of triangle A145973. A145974

Number of partitions of n+3 with largest inscribed rectangle having area <= n. A218624

Number of UFU-free Motzkin paths of length n. A95980

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), (0, -1, 0), (1, 1, -1), (1, 1, 0), (1, 1, 1)}. A150986

Numerator of the generalized harmonic number H(n,3,1) described below. A75135