Properties of the Number 19516

Nineteen Thousand Five Hundred Sixteen

Basics

Value: 19515 → 19516 → 19517

Parity: even

Prime: No

Previous Prime: 19507

Next Prime: 19531

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 17 × 41

Divisors: 1, 2, 4, 7, 14, 17, 28, 34, 41, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110000111100

Octal: 46074

Duodecimal: B364

Hexadecimal: 4c3c

Square: 380874256

Square Root: 139.69967788080257

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 numbers of the form x⁴ - 6·x² * y² + y⁴ (where x,y are integers). A135789

Number of ways to choose an integer partition of each factor in a factorization of n. A318948

Number of partitions of n such that the number of parts is not divisible by the greatest part. A200727

a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6). A26049

Let (u1,u2) be successive untouchable numbers such that φ(u1) = φ(u2); sequence gives values of u1. A48189

a(n) = 2*(a(n-1)+a(n-2)+a(n-3))-a(n-4) for n >= 4, with initial terms 0,0,1,1. A317974

Given the infinite continued fraction (1+i)+((1+i)/(1+i)+((1+i)/((1+i)+...)))), where i is the square root of (-1), this is the numerator of the imaginary part of the convergents. A93726

Triangle T(n, d) = the number of isomorphism classes of smooth Fano d-polytopes with n vertices, read by rows (n >= 2, 1 <= d < n). A127709

The Hwang-Deutsch function f₄(n). A260997

Representation degeneracies for boson strings. A5294