Properties of the Number 27552

Twenty-Seven Thousand Five Hundred Fifty-Two

Basics

Value: 27551 → 27552 → 27553

Parity: even

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 7 × 41

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110100000

Octal: 65640

Duodecimal: 13B40

Hexadecimal: 6ba0

Square: 759112704

Square Root: 165.98795136997143

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

Number of integer compositions of n into parts that are alternately unequal and equal. A357644

Numbers k such that σ (x) = k has exactly 11 solutions. A60678

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

a(n) = prime(n)³ - prime(n) * prime(n²). A291542

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

Almost trivalent maps. A2008

a(n) = ∑_{k=0..floor(n/3)} 2^k * |Stirling1(n,3·k)|. A357831

Sum of divisors of the product of two consecutive primes. A180617

Expansion of e.g.f. 1/(1 - sinh(x))³. A381210

Number of binary words of length n not containing the substrings 0000, 0001, 0011, 0111. A368430