Properties of the Number 2873

Two Thousand Eight Hundred Seventy-Three

Basics

Value: 2872 → 2873 → 2874

Parity: odd

Prime: No

Previous Prime: 2861

Next Prime: 2879

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 ² × 17

Divisors: 1, 13, 17, 169, 221, 2873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100111001

Octal: 5471

Duodecimal: 17B5

Hexadecimal: b39

Square: 8254129

Square Root: 53.600373133029585

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

Prime shift array: Square array read by antidiagonals: A(1,col) = 2·col, and for row > 1, A(row,col) = A003961(A(row-1,col)). A246278

Least inverse of A015910: smallest integer k > 0 such that 2^k mod k = n, or 0 if no such k exists. A36236

Number of complete subsets of {1..n}. A326020

D-toothpick sequence of the second kind (see Comments lines for definition). A194270

Number of log-concave compositions (ordered partitions) of n. A69916

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

a(n) = n*(5·n - 1)/2. A5476

Numbers m that are the hypotenuse of exactly 7 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 7 ways. A97101

a(n) = ∑_k=0..n (-1)^k * binomial(n, k) * q(k), where q(k) is A000009 (partitions into distinct parts). A293467

Values of n such that L(12) and N(12) 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. A227515