Properties of the Number 88482

Eighty-Eight Thousand Four Hundred Eighty-Two

Basics

Value: 88481 → 88482 → 88483

Parity: even

Prime: No

Previous Prime: 88471

Next Prime: 88493

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 14747

Divisors: 1, 2, 3, 6, 14747, 29494, 44241, 88482

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100110100010

Octal: 254642

Duodecimal: 43256

Hexadecimal: 159a2

Square: 7829064324

Square Root: 297.45924090537176

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

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k doubledescents (0 <= k <= n-2). We say that i is a doubledescent (also called a double fall) of a permutation p if p(i) > p(i+1) > p(i+2). A162975

Number of permutations of [n] having exactly four (possibly overlapping) doubledescents. A279293

Let pk[n_]=n!/Product[i, {i, 1, n-Floor[n/2^k]}]. Then a(n) = Sum[Floor[pk[n]/pk[n-1]], {k, 1, 4}]. A88482