Properties of the Number 5678

Five Thousand Six Hundred Seventy-Eight

Basics

Value: 5677 → 5678 → 5679

Parity: even

Prime: No

Previous Prime: 5669

Next Prime: 5683

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 17 × 167

Divisors: 1, 2, 17, 34, 167, 334, 2839, 5678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000101110

Octal: 13056

Duodecimal: 3352

Hexadecimal: 162e

Square: 32239684

Square Root: 75.35250493513803

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

Numbers n such that (5+n!)/5 is prime. A139058

Number of partitions of n² into distinct squares. A30273

Triangle of rooted identity trees with n nodes and k leaves. A55327

Maximum number of regions into which the plane is divided by n triangles. A77588

a(n) = n*(5·n-3). A135706

Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 3. A185033

G.f.: (1 / theta₄(x) - 1)² / 4, where theta₄() is the Jacobi θ function. A338223

Minimum number n, not already present, that permits the cyclic repetition of the decimal digits 1,2,3,4,5,6,7,8,9 in the sequence. A165307

G.f. A(x) satisfies: ∑_n>=0 ( xⁿ + (-1)ⁿ*A(x) )ⁿ = 1. A317997

Row sums of triangle in A074829. A74878