Properties of the Number 58928

Fifty-Eight Thousand Nine Hundred Twenty-Eight

Basics

Value: 58927 → 58928 → 58929

Parity: even

Prime: No

Previous Prime: 58921

Next Prime: 58937

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 29 × 127

Divisors: 1, 2, 4, 8, 16, 29, 58, 116, 127, 232

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1110011000110000

Octal: 163060

Duodecimal: 2A128

Hexadecimal: e630

Square: 3472509184

Square Root: 242.75090113118014

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 length n+2 0..3 arrays with no consecutive three elements summing to more than 3. A241609

Least k such that k³ + q is divisible by 3ⁿ where q is the n-th number congruent to 1 or -1 (mod 18). A251731

T(n,k)=Number of length n+2 0..k arrays with no consecutive three elements summing to more than k. A241619

a(n) = n!² * [xⁿ] polylog(2,x)³. A370225

Denominators of series related to triangular cacti. A58928

Number of nX5 binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally. A188691

Number of (n+1)X5 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203737

Number of (n+1)X(4+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250703