Properties of the Number 67312

Sixty-Seven Thousand Three Hundred Twelve

Basics

Value: 67311 → 67312 → 67313

Parity: even

Prime: No

Previous Prime: 67307

Next Prime: 67339

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 7 × 601

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011011110000

Octal: 203360

Duodecimal: 32B54

Hexadecimal: 106f0

Square: 4530905344

Square Root: 259.4455626909044

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

Irregular triangle read by rows: T(n,k) is the number of distinct tilings by squares of an n X n square lattice that contain k nodes unconnected to any of their neighbors. A226997

From the game of Quod: number of "squares" on an n X n array of points with the four corner points deleted. A124479

G.f. A(x) satisfies: [xⁿ] A(x)^n²-n+1 = 0 for n>=2. A229041

Largest leg in right triangle with relatively prime sides and hypotenuse 5ⁿ. A67312

Number of (n+5) X 10 0..1 matrices with each 6 X 6 subblock idempotent. A224574