Properties of the Number 27153

Twenty-Seven Thousand One Hundred Fifty-Three

Basics

Value: 27152 → 27153 → 27154

Parity: odd

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 431

Divisors: 1, 3, 7, 9, 21, 63, 431, 1293, 3017, 3879

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000010001

Octal: 65021

Duodecimal: 13869

Hexadecimal: 6a11

Square: 737285409

Square Root: 164.78167373831351

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

Positive integers m such that π(m³) = π(j³) + π(k³) for some 0 < j <= k < m. A262409

Triangle read by rows: T(n,k) = number of free polyominoes with n cells, where the maximum number of collinear cell centers on any line in the plane is k. A377942

Expansion of 1/((1-x)²*(1-x²)³*(1-x³)²*(1-x⁴)). A210068

Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n. A219965

The hyper-Wiener index of the Lucas cube λ(n) (n>=2). A246176

G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E₇. A210633

a(n) = ∑_0<=j<=i<=n A027144(i, j). A27153