Properties of the Number 88729

Eighty-Eight Thousand Seven Hundred Twenty-Nine

Basics

Value: 88728 → 88729 → 88730

Parity: odd

Prime: Yes

Previous Prime: 88721

Next Prime: 88741

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 88729

Divisors: 1, 88729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101010011001

Octal: 255231

Duodecimal: 43421

Hexadecimal: 15a99

Square: 7872835441

Square Root: 297.87413449307746

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

Partial sums of A299287. A299288

There appear to be at least n primes in the range (x-2·sqrt(x), x] for all x >= a(n). A189027

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A185957; by antidiagonals. A202678

Primes resulting from procedure described in A048393. A48394

a(n) is the smallest prime such that it and the previous two primes are all of the form x² + n·y². A212603

a(n) = [[(k²)*n]-(k*[k·n])], where k = sqrt(2) and [] is the floor function. A59648

Matrix product of Stirling2-triangle A008277(n,k) and unsigned Lah-triangle |A008297(n,k)|. A88729

Yarborough primes that remain Yarborough primes when each of their digits are replaced by their cubes. A296563