Properties of the Number 88997

Eighty-Eight Thousand Nine Hundred Ninety-Seven

Basics

Value: 88996 → 88997 → 88998

Parity: odd

Prime: Yes

Previous Prime: 88993

Next Prime: 89003

Digit Sum: 41

Digital Root: 5

Palindrome: No

Factorization: 88997

Divisors: 1, 88997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101110100101

Octal: 255645

Duodecimal: 43605

Hexadecimal: 15ba5

Square: 7920466009

Square Root: 298.3236497497307

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

Primes with digit sum = 41. A106774

a(0) = 1; a(n) = ∑_k=0..n-1 (1 + k) * (1 + k⁴) * binomial(n-1,k) * a(k) * a(n-1-k). A385941

Numerator of the probability that Bob wins the following game: Alice and Bob take turn (Alice starts first) to gain 1 or 2 chips randomly and independently with 1/2 chance, and the first player that collects at least n chips is the winner. A265919

Primes p such that p²*q²*r² + 12 and p²*q²*r² - 12 are primes where q and r are next two primes after p. A240725

G.f.: ∑_n>=0 ((1+x)ⁿ - 1)ⁿ / (1+x - x*(1+x)ⁿ)ⁿ⁺¹. A303919

Base-10 numbers such that a(n) plus any nonnegative palindrome less than a(n) does not yield a palindrome. A88997