Properties of the Number 2673

Two Thousand Six Hundred Seventy-Three

Basics

Value: 2672 → 2673 → 2674

Parity: odd

Prime: No

Previous Prime: 2671

Next Prime: 2677

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 11

Divisors: 1, 3, 9, 11, 27, 33, 81, 99, 243, 297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 101001110001

Octal: 5161

Duodecimal: 1669

Hexadecimal: a71

Square: 7144929

Square Root: 51.70106381884226

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Numbers k such that the k-th Euclid number A006862(k) = 1 + (Product of first k primes) is prime. A14545

Number of integer partitions of n that have an even number of parts and cannot be partitioned into distinct pairs of not necessarily distinct parts. A338915

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^n²] (1 + theta₃(x))^k/(2^k*(1 - x)), where theta₃() is the Jacobi θ function. A302998

Numbers of the form 3ⁱ*11^j. A3597

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

Expansion of (q·j(q))^1/4 where j(q) is the elliptic modular invariant (A000521). A289301

Numbers k such that σ(k) = σ(k+5). A15865

Number of ternary search trees on n keys. A19497

Numbers C from the ABC conjecture. A120498