Properties of the Number 39780

Thirty-Nine Thousand Seven Hundred Eighty

Basics

Value: 39779 → 39780 → 39781

Parity: even

Prime: No

Previous Prime: 39779

Next Prime: 39791

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 13 × 17

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001101101100100

Octal: 115544

Duodecimal: 1B030

Hexadecimal: 9b64

Square: 1582448400

Square Root: 199.44924166313595

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

Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x). A97030

Expansion of Hypergeometric function F(1/12, 5/12; 1; 1728·x) in powers of x. A92870

Positive integers that have a record number of divisors in Gaussian integers. A279254

Numbers that are members of unitary σ aliquot cycles (union of unitary perfect, unitary amicable and unitary sociable numbers). A327157

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every row and column least squares fitting to a positive slope straight line. A222929

Triangle read by rows: T(n,k) is the number of permutations of k elements from [1..n] where adjacent values cannot be consecutive modulo n. A338838

T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and vertical neighbors in a random 0..2 nXk array. A220375

Integers k such that ω(k) = ω(k-1) + ω(k-2) + ω(k-3), where ω(n) is the number of distinct prime factors of n. A76252

Numbers k such that if you subtract k-reversed from k you get a natural number with the same digits as k. A121969

Record differences for n² - φ(n)*σ(n). A164876