Properties of the Number 67024

Sixty-Seven Thousand Twenty-Four

Basics

Value: 67023 → 67024 → 67025

Parity: even

Prime: No

Previous Prime: 67021

Next Prime: 67033

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 59 × 71

Divisors: 1, 2, 4, 8, 16, 59, 71, 118, 142, 236

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010111010000

Octal: 202720

Duodecimal: 32954

Hexadecimal: 105d0

Square: 4492216576

Square Root: 258.8899380045505

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

Start with the triangle with 4 markings of the Shield tiling and recursively apply the substitution rule. a(n) is the number of triangles with 4 markings after n iterations. A298682

a(n) is the number of binary words containing n 1's and at most n 0's that do not contain the substring 101. A225034

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 47 ones. A31815

Inverse binomial transform of A048775 (assuming offset zero in both sequences). A163765

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (-1, 1, 1), (1, 0, 1), (1, 1, -1)}. A149420

Smallest prime p such that p+2 has exactly n distinct prime factors. A67024

Number of (n+1)X(2+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise. A235407

Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where n 2-colored objects are distributed into k containers of two kinds. Containers may be left empty. A383353