Properties of the Number 16380

Sixteen Thousand Three Hundred Eighty

Basics

Value: 16379 → 16380 → 16381

Parity: even

Prime: No

Previous Prime: 16369

Next Prime: 16381

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 7 × 13

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11111111111100

Octal: 37774

Duodecimal: 9590

Hexadecimal: 3ffc

Square: 268304400

Square Root: 127.98437404620925

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

sigma₃(n): sum of cubes of divisors of n. A1158

Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n. A793

a(n) = 2ⁿ - 4. A28399

a(n) = binomial(5·n+3,n)/(n+1). A118971

Table T(n,k) by antidiagonals. T(n,k) is the number of length n primitive (=aperiodic or period n) k-ary words (n,k >= 1). A143324

a(n) is the number of times that only 2 pegs have disks on them during the optimal solution to a Towers of Hanoi problem with n disks. A347789

Number of ways of writing n as a sum of 6 squares. A141

Second diagonal under the main diagonal in A172119 written in a square (see comment). A173033

a(n) = lcm(p-1, p+1) where p is the n-th prime. A84921

When expressed in base 2 and then interpreted in base 3, is a multiple of the original number. A62845