Properties of the Number 67088

Sixty-Seven Thousand Eighty-Eight

Basics

Value: 67087 → 67088 → 67089

Parity: even

Prime: No

Previous Prime: 67079

Next Prime: 67103

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 7 × 599

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: 10000011000010000

Octal: 203020

Duodecimal: 329A8

Hexadecimal: 10610

Square: 4500799744

Square Root: 259.0135131609932

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

a(n) = 49·n² + 7. A158481

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 74. A31752

Number of (n+5)X6 0..1 matrices with each 6X6 subblock idempotent. A224570

Expansion of log(1+tan(sinh(x))). A9365

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (1, -1, 0), (1, 0, -1), (1, 0, 1)}. A149406

Floor(X/Y) where X = concatenation of (n+1), (n+2), ...up to 2n and Y = concatenation of 1,2,3,4,... up to n. A67088

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577

O.g.f. A(x) satisfies: [xⁿ] exp( n·x*A(x) ) * (n+1 - n·A(x)) = 0 for n >= 1. A317338