Properties of the Number 13582

Thirteen Thousand Five Hundred Eighty-Two

Basics

Value: 13581 → 13582 → 13583

Parity: even

Prime: No

Previous Prime: 13577

Next Prime: 13591

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 6791

Divisors: 1, 2, 6791, 13582

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010100001110

Octal: 32416

Duodecimal: 7A3A

Hexadecimal: 350e

Square: 184470724

Square Root: 116.54183798104438

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

Total number of smallest parts in all partitions of n into odd parts. A92268

Number of partitions of n into "number of partitions of n into partition numbers" numbers. A130898

Define sequence S(a₀,a₁) by a_n+2 is least integer such that a_n+2/a_n+1>a_n+1/a_n for n >= 0. This is S(3,4). A18908

Pisot sequence L(6,10). A48587

Number of n X 7 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223837

Number of 6 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223842

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) -1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294867

Expansion of ∏_{i>=1, j>=1} theta₃(x^i·j), where theta₃() is the Jacobi θ function. A308286

Semiprimes k such that none of k-2, k-1, k+1, and k+2 is squarefree. A364010

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones. A31838