Properties of the Number 2124

Two Thousand One Hundred Twenty-Four

Basics

Value: 2123 → 2124 → 2125

Parity: even

Prime: No

Previous Prime: 2113

Next Prime: 2129

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 59

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 59

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001100

Octal: 4114

Duodecimal: 1290

Hexadecimal: 84c

Square: 4511376

Square Root: 46.08687448721165

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

Sums of twin prime pairs. A54735

e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2·k. A54979

Coreful perfect numbers: numbers k such that csigma(k) = 2·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A307958

Multiples of 12 containing a 12 in their decimal representation. A121032

Products of exactly 2 distinct squares of primes and a different prime (p² * q² * r). A179643

a(n) = n*(n + 23). A132765

a(n) is the smallest m for which 3^m contains n consecutive identical digits. A215727

G.f.: 1/G(0) where G(k) = 1 + (-q)^k+1 / (1 - (-q)^k+1/G(k+1) ). A227310

Number of strict integer partitions of n with a part equal to the sum of two distinct others. A variation of sum-full strict partitions. A364670

T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once. A269289