Properties of the Number 15106

Fifteen Thousand One Hundred Six

Basics

Value: 15105 → 15106 → 15107

Parity: even

Prime: No

Previous Prime: 15101

Next Prime: 15107

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 13 × 83

Divisors: 1, 2, 7, 13, 14, 26, 83, 91, 166, 182

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101100000010

Octal: 35402

Duodecimal: 88AA

Hexadecimal: 3b02

Square: 228191236

Square Root: 122.90646850349252

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

Total number of even parts in all partitions of n. A66898

Convolution of natural numbers >= 2 and Fibonacci numbers. A23548

Number of distributive lattices; also number of paths with n turns when light is reflected from 7 glass plates. A25030

A046802(x,y) --> A046802(x,y+1), transform of e.g.f. for the graded number of positroids of the totally nonnegative Grassmannians G+(k,n); enumerates faces of the stellahedra. A248727

Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A138177

Least common multiple of reversals of divisors of n in decimal representation. A188649

T(n,k)=Number of nXk nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero. A268079

Absolute row sums of triangle A104967. A104968

Dot product of the squares and the quarter-squares: a(n) = sum(i=1..n, i² * floor(i²/4)). A60453

a(n) = 686·n + 14. A157366