Properties of the Number 5580

Five Thousand Five Hundred Eighty

Basics

Value: 5579 → 5580 → 5581

Parity: even

Prime: No

Previous Prime: 5573

Next Prime: 5581

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 31

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111001100

Octal: 12714

Duodecimal: 3290

Hexadecimal: 15cc

Square: 31136400

Square Root: 74.6993975879324

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

12 times triangular numbers. A49598

a(n) = n*(7·n - 1)/2. A22264

Number of edges in a figure made up of a row of n adjacent congruent rectangles upon drawing diagonals of all possible rectangles. A331757

Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3. A64238

Array read by antidiagonals: T(n,k) = φ(kⁿ-1)/n, where φ is Euler's totient function (A000010), n >= 1, k >= 2. A369291

Number of primitive polynomials of degree n over GF(5). A27741

Numbers k such that σ(x) = k has exactly 9 solutions. A60665

Triangle read by rows: T(n,k) is the number of compositions of n having k distinct parts (n>=1, 1<=k<=floor((sqrt(1+8·n)-1)/2)). A235998

a(n) = n*(14·n - 1). A195024

T(n,k) = Number of n-bead necklaces of k colors allowing reversal, with no adjacent beads having the same color. A208544