Properties of the Number 2100

Two Thousand One Hundred

Basics

Value: 2099 → 2100 → 2101

Parity: even

Prime: No

Previous Prime: 2099

Next Prime: 2111

Digit Sum: 3

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100000110100

Octal: 4064

Duodecimal: 1270

Hexadecimal: 834

Square: 4410000

Square Root: 45.8257569495584

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 partitions of n into parts 5k+1 or 5k+4. A3114

Highly abundant numbers: numbers k such that σ(k) > σ(m) for all m < k. A2093

Triangular array a(n,k) = (1/k)*∑_i=0..k (-1)^k-i*binomial(k,i)*iⁿ; n >= 1, 1 <= k <= n, read by rows. A28246

a(1)=1, a(2)=2; thereafter, a(n) is the smallest number m not yet in the sequence such that every prime that divides a(n-1) also divides m. A60735

a(1)=1, a(n) = n·a(floor(n/2)). A98844

Numbers whose sum of digits is 3. A52217

Sums of twin prime pairs. A54735

Numbers whose unsorted prime signature is not unimodal. A332282

Numbers k such that σ(k) > 3·k. A68403

Representation of n in base of Catalan numbers (a classic greedy version). A14418