Properties of the Number 53728

Fifty-Three Thousand Seven Hundred Twenty-Eight

Basics

Value: 53727 → 53728 → 53729

Parity: even

Prime: No

Previous Prime: 53719

Next Prime: 53731

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 23 × 73

Divisors: 1, 2, 4, 8, 16, 23, 32, 46, 73, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101000111100000

Octal: 150740

Duodecimal: 27114

Hexadecimal: d1e0

Square: 2886697984

Square Root: 231.7930111112067

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)=Half the number of (n+2)X(k+2) binary arrays with no 3X3 subblock having a sum equal to any horizontal or vertical neighbor 3X3 subblock sum. A187964

p-INVERT of (1,0,0,1,0,0,0,0,0,...), where p(S) = (1 - S)². A292324

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235573

Total number of cycles in all permutations of [n] having cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i. A345341

G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - x * (1 + x + x² + x³) * A(x⁴))). A367718

Half the number of (n+2)X4 binary arrays with no 3X3 subblock having a sum equal to any horizontal or vertical neighbor 3X3 subblock sum. A187957

Half the number of (n+2)X5 binary arrays with no 3X3 subblock having a sum equal to any horizontal or vertical neighbor 3X3 subblock sum. A187958

Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235568

Number of (n+1)X(4+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise. A235569

For n=1,2,3,..., compute sum of aliquot divisors of n; if result is prime append this prime to sequence. A53728