Properties of the Number 5762

Five Thousand Seven Hundred Sixty-Two

Basics

Value: 5761 → 5762 → 5763

Parity: even

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 43 × 67

Divisors: 1, 2, 43, 67, 86, 134, 2881, 5762

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010000010

Octal: 13202

Duodecimal: 3402

Hexadecimal: 1682

Square: 33200644

Square Root: 75.90783885739337

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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Partial sums of the partition numbers A000041 of the positive integers. A26905

Number of partitions of n such that the set of even parts has only one element. A90867

Smith numbers of order 2. A174460

Coefficient of x² in the n-th Moebius polynomial (A074586), M(n,x), which satisfies M(n,-1)=μ(n) the Moebius function of n. A77598

Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p). A239954

Numbers k such that there are exactly 9 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 9. A327431

Sum of all the parts in the partitions of n into 4 squarefree parts. A308783

Indices of 4's in A090822. A157107

G.f.: A(x) = exp( 2*∑_n>=1 A006519(n)² * xⁿ/n ), where A006519(n) = highest power of 2 dividing n. A162581