Properties of the Number 12442

Twelve Thousand Four Hundred Forty-Two

Basics

Value: 12441 → 12442 → 12443

Parity: even

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 6221

Divisors: 1, 2, 6221, 12442

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000010011010

Octal: 30232

Duodecimal: 724A

Hexadecimal: 309a

Square: 154803364

Square Root: 111.5437134042076

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302415

Number of partitions of n such that the number of odd parts is a part. A240574

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222430

a(n) = 8·n² + 7·n + 1. A194268

G.f.: (∏_j>=1 1/(1-q^j)² + ∏_j>=1 1/(1-q^2·j))/2. A281357

Numbers k such that the total number of digits d in the numbers from 1 to k is even for each d from 0 to 9. A380642

Numbers k such that the continued fraction for sqrt(k) has period 75. A20414

Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826

Number of (n+1) X 3 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204645

Number of (n+1)X(n+1) -10..10 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values. A211816