Properties of the Number 88692

Eighty-Eight Thousand Six Hundred Ninety-Two

Basics

Value: 88691 → 88692 → 88693

Parity: even

Prime: No

Previous Prime: 88681

Next Prime: 88721

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 19 × 389

Divisors: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101001110100

Octal: 255164

Duodecimal: 433B0

Hexadecimal: 15a74

Square: 7866270864

Square Root: 297.81202124830355

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

a(n) is the total number of down steps between the 2nd and 3rd up steps in all 3-Dyck paths of length 4·n. A 3-Dyck path is a nonnegative lattice path with steps (1, 3), (1, -1) that starts and ends at y = 0. A334645

a(n) = prime(prime(n·n) - n·n) - n·n where prime(n) is the n-th prime. A141127

T(n,k)=Number of nondecreasing arrangements of n+2 numbers in 0..k with each number being the sum mod (k+1) of two others. A183912

E.g.f: A(x) = f(x·A(x)), where f(x) = (1+2·x)*exp(x). A88692