Properties of the Number 2967

Two Thousand Nine Hundred Sixty-Seven

Basics

Value: 2966 → 2967 → 2968

Parity: odd

Prime: No

Previous Prime: 2963

Next Prime: 2969

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 23 × 43

Divisors: 1, 3, 23, 43, 69, 129, 989, 2967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010111

Octal: 5627

Duodecimal: 1873

Hexadecimal: b97

Square: 8803089

Square Root: 54.47017532558529

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

a(n) = 3·n*(n + 3)/2. A140091

a(n) = 2·n² - 2·n + 3. A97080

MM-numbers of nesting multiset partitions. A326256

MM-numbers of capturing multiset partitions. A326255

T(n,k)=Number of length n+2 0..k arrays with some pair in every consecutive three terms totalling exactly k. A245869

a(1) = 10; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A111524

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 6 multiples of n-1, n-2, ..., 1. A113743

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 4 multiples of n-1, n-2, ..., 1, for n>=1. A112558

Expansion of x*(403+2967·x+1047·x²-x³)/(1-x)⁴. A165808

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 4. A183632