Properties of the Number 15276

Fifteen Thousand Two Hundred Seventy-Six

Basics

Value: 15275 → 15276 → 15277

Parity: even

Prime: No

Previous Prime: 15271

Next Prime: 15277

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 19 × 67

Divisors: 1, 2, 3, 4, 6, 12, 19, 38, 57, 67

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11101110101100

Octal: 35654

Duodecimal: 8A10

Hexadecimal: 3bac

Square: 233356176

Square Root: 123.596116443843

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

Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes. A127

a(n) = n*(2·n² + 5·n + 1)/2. A162254

Maximal number of right triangles in n turns of Pythagoras's snail. A137515

a(n) = 1 + 85·n + 2232·n² + 15276·n³. A167190

Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square. A339623

a(n) = [xⁿ] G(x)ⁿ, where G(x) = ∏_{k >= 1} 1/(1 - x^k)^k³ is the g.f. of A023872. A386720

Number of distinct differences between consecutive divisors of n! (ordered by size). A60737

Number of ways of placing n balls into boxes 1,2,... in such a way that any two adjacent boxes contain at least 4 balls. A257666

a(n) = ∑_k=0..n binomial(6·n+1,k). A385497

Values of n such that N=(an+1)(bn+1)(cn+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,35. A64254