Properties of the Number 27474

Twenty-Seven Thousand Four Hundred Seventy-Four

Basics

Value: 27473 → 27474 → 27475

Parity: even

Prime: No

Previous Prime: 27457

Next Prime: 27479

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 19 × 241

Divisors: 1, 2, 3, 6, 19, 38, 57, 114, 241, 482

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101101010010

Octal: 65522

Duodecimal: 13A96

Hexadecimal: 6b52

Square: 754820676

Square Root: 165.75282803017268

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 n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads. A5513

Sum of terms in each group in A074147. A74149

a(n) = 2·n*(2·n² + 1). A61804

Numbers k such that ∑_i=1..k i⁷ divides ∏_i=1..k i⁷. A166607

a(n) = n*(n+1)*(n+2)*(n²+7·n+32)/120. A51747

Least number m such that φ(m-6n) = φ(m) = φ(m+6n) and m is not divisible by n. A217068

Number of partitions p of n such that (maximal multiplicity of the parts of p) < (number of distinct parts of p). A240305

Expansion of -2·x²*(-3-2·x+x²-x³-2·x⁴+x⁵) / ( (1+x)²*(x-1)⁴ ). A178465

Number of (w,x,y) with all terms in {0,...,n} and odd range. A212976

Values of y such that x² + y² = 61ⁿ with·and y coprime and 0 < x < y. A230842