Properties of the Number -2552

Five Hundred Fifty-Two

Basics

Value: -2553 → -2552 → -2551

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan θ function. A108494

Expansion of φ(-q) / φ(q²) in powers of q where φ() is a Ramanujan θ function. A210030

Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n). A255644

a(0) = 1; a(n) = a(n-1) - ∑_k=0..n-1 k·a(k) * a(n-1-k). A386473

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