Properties of the Number 8661

Eight Thousand Six Hundred Sixty-One

Basics

Value: 8660 → 8661 → 8662

Parity: odd

Prime: No

Previous Prime: 8647

Next Prime: 8663

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2887

Divisors: 1, 3, 2887, 8661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000111010101

Octal: 20725

Duodecimal: 5019

Hexadecimal: 21d5

Square: 75012921

Square Root: 93.06449376641986

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 integer partitions of n that can be partitioned into distinct pairs of distinct parts, i.e., into a set of edges. A339560

Partial sums of A097988 (d₃(n)²). A330570

a(n) = a(n-1) + a(n-3) + a(n-4) + a(n-5) + a(n-7). A107480

Number of disconnected 2-regular simple graphs on n vertices with girth at least 5. A185225

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261761

Triangle read by rows: T(n,k) is the number of unoriented colorings of the facets of a regular n-dimensional orthotope using exactly k colors. Row n has 2n columns. A325009

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

E.g.f.: exp(x·G(x)) where G(x) = 1 + x·G(x)³ is the g.f. of A001764. A251569

Numbers n such that Q(sqrt(n)) has class number 7. A218039

Number of set partitions of [4n] into 4-element subsets {i, i+k, i+2k, i+3k} with 1<=k<=n. A337520