Properties of the Number 2542

Two Thousand Five Hundred Forty-Two

Basics

Value: 2541 → 2542 → 2543

Parity: even

Prime: No

Previous Prime: 2539

Next Prime: 2543

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 31 × 41

Divisors: 1, 2, 31, 41, 62, 82, 1271, 2542

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111101110

Octal: 4756

Duodecimal: 157A

Hexadecimal: 9ee

Square: 6461764

Square Root: 50.41825066382212

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

Second pentagonal numbers: a(n) = n*(3·n + 1)/2. A5449

Triangular array: the fission of the polynomial sequence ((x+1)ⁿ: n >= 0) by the polynomial sequence ((x+2)ⁿ: n >= 0). (Fission is defined at Comments.) A193842

Second pentagonal numbers with odd index: a(n) = (2·n-1)*(3·n-1). A33568

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554

a(n) = (11·n² - 11·n + 2)/2. A69125

a(n) = n*(n+21). A132763

Heinz numbers of integer partitions with the same length as reverse-alternating sum. A357485

Euler φ(n) / Carmichael λ(n) = 10. A62377

Conjectured list of numbers whose aliquot sequence eventually reaches a cycle of length two or more. A121507

Partitions with superdiagonal growth: number of partitions (p0, p1, p2, ...) of n with π - p0 >= i. A238860