Properties of the Number 10582

Ten Thousand Five Hundred Eighty-Two

Basics

Value: 10581 → 10582 → 10583

Parity: even

Prime: No

Previous Prime: 10567

Next Prime: 10589

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 13 × 37

Divisors: 1, 2, 11, 13, 22, 26, 37, 74, 143, 286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101010110

Octal: 24526

Duodecimal: 615A

Hexadecimal: 2956

Square: 111978724

Square Root: 102.86884854026509

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

a(n) = (2·n-1)*(5·n²-5·n+6)/6. A63489

a(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Row 3 of A007754. A58794

Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x·T_m-1(x) - T_m-2(x), m >= 2, T₀(x) = 2, T₁(x) = x (dilated Chebyshev polynomials of the first kind). A299071

a(n) = (n+1)*(n+3)*(n+8)/6. A297

a(n) = n³ - 3·n. A121670

Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square. A163433

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,1,3,0,2 for x=0,1,2,3,4. A197069

Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime. A92230

a(n) = prime(n)² - n. A182174