Properties of the Number 2993

Two Thousand Nine Hundred Ninety-Three

Basics

Value: 2992 → 2993 → 2994

Parity: odd

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 41 × 73

Divisors: 1, 41, 73, 2993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110110001

Octal: 5661

Duodecimal: 1895

Hexadecimal: bb1

Square: 8958049

Square Root: 54.70831746635972

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 (w,x,y) such that w,x,y are all in {0,...,n} and |w-x| = |x-y|. A212959

a(n) = a(n-1) + 2·a(n-2) - a(n-3), with a(0) = a(1) = 0, a(2) = 1. A6053

Expansion of 1/(1 - x³ - x⁵ - x⁷ + x¹⁰), inverse of a Salem polynomial. A143472

Number of decimal digits in n-th Mersenne prime. A28335

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449

Number of capturing set partitions of {1..n}. A326243

a(n) = ∑_m=1..n ∑_k=1..m prime(k). A14148

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252433

Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 7 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2·n, s(0) = 1, s(2n) = 3. A94790

The number of medial quasigroups of order n, up to isomorphism. A226193