Properties of the Number 4581

Four Thousand Five Hundred Eighty-One

Basics

Value: 4580 → 4581 → 4582

Parity: odd

Prime: No

Previous Prime: 4567

Next Prime: 4583

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 509

Divisors: 1, 3, 9, 509, 1527, 4581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100101

Octal: 10745

Duodecimal: 2799

Hexadecimal: 11e5

Square: 20985561

Square Root: 67.68308503607086

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

Number of partitions of n into at least two distinct parts. A111133

Number of permutations in S_n that avoid the pattern 12453 (or equivalently, 31245). A116485

Number of primes in the interval [prime(n), prime(n)²]. A54272

Recurrence a(n) = n*(n + 1)*a(n-1) + 1 with a(0) = 1. A228229

a(n) = a(n-1) + a(m) for n >= 3, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 3. A50069

Array T(n,k) read by antidiagonals: expansion of exp(x+y)/(1-xy). A99597

a(n) is the least number of prime factors for any abundant number with p_n (the n-th prime) as its least factor. A108227

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252105

Rounded total surface area of a regular icosahedron with edge length n. A71398

a(n) is the least number of prime factors in any non-deficient number that has the n-th prime as its least prime factor. A107705