Properties of the Number 67527

Sixty-Seven Thousand Five Hundred Twenty-Seven

Basics

Value: 67526 → 67527 → 67528

Parity: odd

Prime: No

Previous Prime: 67523

Next Prime: 67531

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 41 × 61

Divisors: 1, 3, 9, 27, 41, 61, 123, 183, 369, 549

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011111000111

Octal: 203707

Duodecimal: 330B3

Hexadecimal: 107c7

Square: 4559895729

Square Root: 259.8595774644452

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

Total number of modes in all partitions of n. A372542

Expansion of ∏_k>=1 1/(1 - x^k/(1 + x)). A307626

Number of 3 X n 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing. A224159

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (1, -1, 0), (1, 1, -1), (1, 1, 1)}. A149596

n - 3^k is a prime for all k > 0 such that 3^k < n. A67527