Properties of the Number 2989

Two Thousand Nine Hundred Eighty-Nine

Basics

Value: 2988 → 2989 → 2990

Parity: odd

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 ² × 61

Divisors: 1, 7, 49, 61, 427, 2989

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110101101

Octal: 5655

Duodecimal: 1891

Hexadecimal: bad

Square: 8934121

Square Root: 54.67174773134658

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 with no adjacent parts having quotient >= 2. A342096

Values of n such that L(9) and N(9) 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. A226929

Triangle read by rows: numerators of Cotesian numbers C(n,k) (0 <= k <= n). A100640

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160118

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A50025

Number of homeomorphically irreducible rooted trees (also known as series-reduced rooted trees, or rooted trees without nodes of degree 2) on n labeled nodes. A60313

Numerator of 1/36 - 1/n². A61045

Number of partitions of n containing a clique of size 9. A183566

Expansion of 1/(1 - ∑_k>=2 x^k²). A280542

Number A(n,k) of tilings of a k X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation; square array A(n,k), n>=0, k>=0, read by antidiagonals. A322494