Properties of the Number 38780

Thirty-Eight Thousand Seven Hundred Eighty

Basics

Value: 38779 → 38780 → 38781

Parity: even

Prime: No

Previous Prime: 38767

Next Prime: 38783

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 7 × 277

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011101111100

Octal: 113574

Duodecimal: 1A538

Hexadecimal: 977c

Square: 1503888400

Square Root: 196.92638218379983

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

Aliquot sequence starting at 276. A8892

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7. A252544

Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7. A252545

a(n) = 10·binomial(n,5) + 6·binomial(n,4) + binomial(n,3) + binomial(n,2). A380445

G.f.: x * (d/dx) x * ∏_k>=1 (1 + x^k)^a(k/k). A308433

An intermediate sequence for counting nonisomorphic circulant directed p²-graphs, indexed by odd primes p. A38780

Number of (n+2) X (7+2) 0..1 arrays with no 3 X 3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258893