Properties of the Number 67729

Sixty-Seven Thousand Seven Hundred Twenty-Nine

Basics

Value: 67728 → 67729 → 67730

Parity: odd

Prime: No

Previous Prime: 67723

Next Prime: 67733

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 89 × 761

Divisors: 1, 89, 761, 67729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100010010001

Octal: 204221

Duodecimal: 33241

Hexadecimal: 10891

Square: 4587217441

Square Root: 260.24795868555816

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

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nXk array. A220537

Larger of Smith brothers. A50220

The number of equal-sized equilateral triangles in the highest stack of triangles contained in successive Genealodrons formed from 2ⁿ - 1 same size equilateral triangles. A179316

a(n) = ∑_k=1..n (n/gcd(k,n))^gcd(k,n - 1). A342421

Collatz trajectory starting at 3711. A179623

Equals one maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nX4 array. A220535

Equals one maps: number of 5Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 5Xn array. A220541

Numbers k such that floor(log(3)^k) is prime. A67729