Properties of the Number 19785

Nineteen Thousand Seven Hundred Eighty-Five

Basics

Value: 19784 → 19785 → 19786

Parity: odd

Prime: No

Previous Prime: 19777

Next Prime: 19793

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1319

Divisors: 1, 3, 5, 15, 1319, 3957, 6595, 19785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110101001001

Octal: 46511

Duodecimal: B549

Hexadecimal: 4d49

Square: 391446225

Square Root: 140.65916251705752

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 that are the sum of 3 nonzero 6th powers. A3359

Numbers m such that 4·3^m + 1 is prime. A5537

Number of ways in which n identical balls can be distributed among 5 boxes in a row such that each pair of adjacent boxes contains at least 4 balls. A5338

Sum of distinct nonzero sixth powers. A194769

G.f.: A(x) = 1/(1 - x·B(x³)), where B(x) = ∑_n>=0 a(n)³*xⁿ is the g.f. of A121652. A121653

A trisection of A121653; a(n) = A121653(3·n+2) = A121652(3·n+2)^1/3. A121656

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202874; by antidiagonals. A202875

Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1). A241744

a(n) = 2ⁿ + 4ⁿ + 5ⁿ. A74532

Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1,2. A37763