Properties of the Number 2493

Two Thousand Four Hundred Ninety-Three

Basics

Value: 2492 → 2493 → 2494

Parity: odd

Prime: No

Previous Prime: 2477

Next Prime: 2503

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 277

Divisors: 1, 3, 9, 277, 831, 2493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111101

Octal: 4675

Duodecimal: 1539

Hexadecimal: 9bd

Square: 6215049

Square Root: 49.92995093127971

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Numbers k such that the k-th partition number A000041(k) is prime. A46063

Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

Irregular triangular array T read by rows: T(0,0) = 1, T(0,1) = T(0,2) = 0; T(1,0) = T(1,1) = T(1,2) = 1, T(1,3) = 0; for n >= 2, T(n,0) = 1, T(n,1) = T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 2,3,...,n+1 and T(n,n+2) = T(n-1,n) + T(n-1,n+1). A26323

Number of 5th-order maximal independent sets in path graph. A7380

Number of multisets summing to n that are the first sums of some nonempty multiset. A390446

Partial sums of A213709. A218600

Triangle T read by rows: differences of Motzkin triangle (A026300). A26105

Toothpick sequence on the hexagonal net starting from a node. A182632

a(n) = 3·n² - n - 1. A144390