Properties of the Number 32124

Thirty-Two Thousand One Hundred Twenty-Four

Basics

Value: 32123 → 32124 → 32125

Parity: even

Prime: No

Previous Prime: 32119

Next Prime: 32141

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 2677

Divisors: 1, 2, 3, 4, 6, 12, 2677, 5354, 8031, 10708

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110101111100

Octal: 76574

Duodecimal: 16710

Hexadecimal: 7d7c

Square: 1031951376

Square Root: 179.23169362587635

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 polyominoes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion). A75200

Values of the difference d for 6 primes in geometric-arithmetic progression with the minimal sequence {7·7^j + j·d}, j = 0 to 5. A209205

T(n,k)=Number of nXk binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly increasing order. A181266

G.f.: ∏_{i>=1, j>=1, k>=1, l>=1} (1 + x^i·j*k·l). A280486

Triangle read by rows T(n,k) = the number of Dyck paths of semilength n with k UUDDU's, 0<=k<=[(n-1)/2]. A114848

Numbers k such that 74·2^k-1 is prime. A50413

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 15 (most significant digit on right). A61944

Number of 4 X n binary matrices M with rows in strictly increasing order and rows of M·transpose(M) (mod 2) in strictly increasing order. A181272

Number of nX(n+2) binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly increasing order. A181268

Numbers n such that (n!-k)/(n-k) is prime for some k. A239412