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Properties of the Number 2968

Two Thousand Nine Hundred Sixty-Eight

Basics

Value: 2967 → 2968 → 2969

Parity: even

Prime: No

Previous Prime: 2963

Next Prime: 2969

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 3 × 7 × 53

Divisors: 1, 2, 4, 7, 8, 14, 28, 53, 56, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110011000

Octal: 5630

Duodecimal: 1874

Hexadecimal: b98

Square: 8809024

Square Root: 54.47935388750494

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

First differences of A006128. A138137
Number of integer partitions of n whose distinct parts are pairwise indivisible. A305148
Number of ways to place 2 nonattacking kings on an n X n board. A61995
Minimal (positive) solution a(n) of Pell equation b(n)2 - D(n)*a(n)2 = +4 with D(n)= A077425(n). The companion sequence is a(n)=A077428(n). A78355
Triangle read by rows: T(n,k) = number of edges in a "frame" of size n X k (see Comments in A331457 for definition). A332600
Number of partitions of n such that 2*(least part) <= greatest part. A237821
Least k for the Theodorus spiral to complete n revolutions. A72895
Number of (directed) Hamiltonian paths in the n-ladder graph. A137882
Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square array such that all positions are mutually isolated. Two positions (s,t),(u,v) are considered as isolated from each other if min(abs(s-u),abs(t-v))>1. A98487
Numbers k such that φ(x) = k has exactly 8 solutions. A60671