Properties of the Number 72100

Seventy-Two Thousand One Hundred

Basics

Value: 72099 → 72100 → 72101

Parity: even

Prime: No

Previous Prime: 72091

Next Prime: 72101

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 ² × 7 × 103

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110100100

Octal: 214644

Duodecimal: 35884

Hexadecimal: 119a4

Square: 5198410000

Square Root: 268.51443164195103

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

Numbers that are the sum of 5 nonzero 8th powers. A3383

Expansion of 1/(1 - x³ - x⁴ - x⁵ + x⁸). A225482

Lexicographically earliest sequence of distinct terms > 0 such that the terms' cumulative sum and the sequence itself have the same digit succession. A332803

Number of homogeneous primitive partition identities of degree 6 with largest part n. A7344

a(n)=sqrt(A145848(n)). A146991

Number of nX3 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280435

E.g.f. A(x) satisfies: A'(x) = A(x·A'(x)³) with A(0)=1. A231899

Column 2 of the array m(i,1)=m(1,j)=1 m(i,j)=m(i-1,j-1)+m(i-1,j+1) (a(n)=m(n,2)). A72100