Properties of the Number 61728

Sixty-One Thousand Seven Hundred Twenty-Eight

Basics

Value: 61727 → 61728 → 61729

Parity: even

Prime: No

Previous Prime: 61723

Next Prime: 61729

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 643

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000100100000

Octal: 170440

Duodecimal: 2B880

Hexadecimal: f120

Square: 3810345984

Square Root: 248.45120245231254

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

Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,2,2). A5543

Coefficient of q³ in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(2,2). A74360

Numbers t which satisfy the equation: t mod k = floor((t - k)/k) mod k (1 <= k <= t) only for k = 1 and t. A375007

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, 1), (0, 0, -1), (0, 0, 1), (1, 0, 0)}. A150091

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood. A271813

Start with (a, b) = (2, 4). The next pair (a', b') is ((b + 1) mod 10, (a + 1) mod 10) where (a, b) is the previous pair. A61728

Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252599