Properties of the Number 15119

Fifteen Thousand One Hundred Nineteen

Basics

Value: 15118 → 15119 → 15120

Parity: odd

Prime: No

Previous Prime: 15107

Next Prime: 15121

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 × 1163

Divisors: 1, 13, 1163, 15119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101100001111

Octal: 35417

Duodecimal: 88BB

Hexadecimal: 3b0f

Square: 228584161

Square Root: 122.95934287397603

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

Expansion of 1/(1 - x - x² + x⁸ - x¹⁰). A181600

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252615

Smallest number requiring n terms to be expressed as a sum of factorials. A200748

Let A(n) = #{(i,j): i² + j² <= n}, V(n) = π*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record. A99

a(n) = 3·n! - 1. A173323

Square root of squares in A145768 (XOR of squares of the numbers 1..n). A145829

a(n) = ∑_d∣n (-1)^n/d+1 * (n-1)!/(d-1)!. A352013

First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770). A72494

a(1)=1. a(n) = the smallest integer > a(n-1) such that d(a(n))+d(a(n)+1) > d(a(n-1))+d(a(n-1)+1), where d(m) = the number of divisors of m. A175143

Auxiliary c(n) sequence used to prove some properties about Rowland's sequence. c(n) has the following recursive definition: c(1) = 5, c_n+1 = c(n) + lfp(c(n)) - 1, where lpf(.) denotes the lowest prime factor of a number. A190894