Properties of the Number 10581

Ten Thousand Five Hundred Eighty-One

Basics

Value: 10580 → 10581 → 10582

Parity: odd

Prime: No

Previous Prime: 10567

Next Prime: 10589

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 3527

Divisors: 1, 3, 3527, 10581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101010101

Octal: 24525

Duodecimal: 6159

Hexadecimal: 2955

Square: 111957561

Square Root: 102.86398786747479

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

Sequence M_n arising in enumeration of arrays of directed blocks (see 2007 Quaintance reference for precise definition). [The next term is not an integer.]. A129872

a(n) = T(n,n-3), array T as in A055818. A55820

a(n) = ((6·n+1)*4ⁿ - 1)/3. A72258

a(n) = 5·n² + 1. A212656

a(n) = ∑_j=1..n ∑_k=1..n φ(j·k). A372633

a(n) = 20·n² + 1. A158493

Decimal representation of the middle column of the "Rule 41" elementary cellular automaton starting with a single ON (black) cell. A266613

a(n) = (n-1)*(n-2)³ - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2. A75681

Numbers written in binary balanced system (A270885) that have exactly one zero. A270886

a(n) = 6·a(n-2) - a(n-1), with a(0)=1, a(1)=3. A165405