Properties of the Number 12582

Twelve Thousand Five Hundred Eighty-Two

Basics

Value: 12581 → 12582 → 12583

Parity: even

Prime: No

Previous Prime: 12577

Next Prime: 12583

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 233

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 233, 466

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11000100100110

Octal: 30446

Duodecimal: 7346

Hexadecimal: 3126

Square: 158306724

Square Root: 112.1695145750395

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 k such that k² contains exactly 9 different digits. A54037

Numbers k such that any two consecutive decimal digits of k² differ by 1 after arranging the digits in decreasing order. A370362

G.f. A(x) satisfies: A(x) = ∑_-oo..+oo (x - A(x)ⁿ)ⁿ⁺¹. A293385

Number of sets of nonempty words over binary alphabet with a total of n letters of which 2 are the first letter. A360650

a(n) = (122n³ + 140n² + 45n + 3n(-1)ⁿ)/8. A191698

Number of n X 3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4. A196073

Partial sums of A301692. A301693

Number of nX6 0..1 arrays with every element unequal to 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304147

Number of nX7 0..1 arrays with every element unequal to 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304148

G.f. A(x) satisfies: A(x) = 1 + x·A(x²)/(1 - x)². A307889