Properties of the Number 99872

Ninety-Nine Thousand Eight Hundred Seventy-Two

Basics

Value: 99871 → 99872 → 99873

Parity: even

Prime: No

Previous Prime: 99871

Next Prime: 99877

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 3121

Divisors: 1, 2, 4, 8, 16, 32, 3121, 6242, 12484, 24968

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000011000100000

Octal: 303040

Duodecimal: 49968

Hexadecimal: 18620

Square: 9974416384

Square Root: 316.0253154416589

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

Sum of the coefficients of the n-th Moebius polynomial, M(n,x), where M(n,-1) = μ(n), the Moebius function of n. A74587

Lesser of two consecutive numbers each divisible by a fifth power. A68783

Monotonic ordering of nonnegative differences 10ⁱ-2^j, for 40>= i>=0, j>=0. A192125

Expansion of ∏_k>=1 (1 + x^k)^binomial(k+3,4). A344099

Number of (n+2) X 9 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. A184546

Number of (n+2) X 10 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. A184547

T(n,k)=Number of (n+2)X(k+2) binary arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order. A184548

Decimal expansion of ∑_n>=1 ((-1)ⁿ⁺¹)/(n^log(n)). A99872