Properties of the Number 8872

Eight Thousand Eight Hundred Seventy-Two

Basics

Value: 8871 → 8872 → 8873

Parity: even

Prime: No

Previous Prime: 8867

Next Prime: 8887

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 1109

Divisors: 1, 2, 4, 8, 1109, 2218, 4436, 8872

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010101000

Octal: 21250

Duodecimal: 5174

Hexadecimal: 22a8

Square: 78712384

Square Root: 94.19129471453293

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

Number of integer partitions of n with a neighborless part. A356236

G.f.: ∏_n>0 ( (1+xⁿ)/(1-xⁿ) )^n⁴. A206624

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317604

Numbers k such that k*(k+4) gives the concatenation of two numbers m and m-2. A116275

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nXk array. A217982

Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n. A275547

Number of compositions of n whose non-adjacent parts are strictly decreasing. A333193

Indices of 4's in A090822. A157107

Lengths of runs of identical terms in A253443. A253444

a(n) is the unique number m such that A034460(m) = A357324(n). A357325