Properties of the Number 2552

Two Thousand Five Hundred Fifty-Two

Basics

Value: 2551 → 2552 → 2553

Parity: even

Prime: No

Previous Prime: 2551

Next Prime: 2557

Digit Sum: 14

Digital Root: 5

Palindrome: Yes

Factorization: 2 ³ × 11 × 29

Divisors: 1, 2, 4, 8, 11, 22, 29, 44, 58, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111111000

Octal: 4770

Duodecimal: 1588

Hexadecimal: 9f8

Square: 6512704

Square Root: 50.51732376126036

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

Numbers obtained by reinterpreting base-2 representation of n in primorial base: a(0) = 0, a(2n) = A276154(a(n)), a(2n+1) = 1 + A276154(a(n)). A276156

a(n) = n² + n + 2. A14206

Number of subsets of {1..n} containing the sum of every subset whose sum is <= n. A326080

a(n) = ∑_{k divides n} (n/k)^k. A55225

G.f.: ∏_{n >= 0} (1+x²ⁿ⁺¹)/(1-x²ⁿ⁺¹). A80054

Number of integer partitions of n into relatively prime parts that are all greater than 1. A302698

Twice second pentagonal numbers. A49451

Riesel problem: start with n; repeatedly double and add 1 until reaching a prime. Sequence gives number of steps to reach a prime or 0 if no prime is ever reached. A50412

Numbers k for which A003415(k) >= A276086(k), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A351228

Number of length n inversion sequences avoiding the patterns 110, 210, 120, 201, and 010. A279553