Properties of the Number 19671

Nineteen Thousand Six Hundred Seventy-One

Basics

Value: 19670 → 19671 → 19672

Parity: odd

Prime: No

Previous Prime: 19661

Next Prime: 19681

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 79 × 83

Divisors: 1, 3, 79, 83, 237, 249, 6557, 19671

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110011010111

Octal: 46327

Duodecimal: B473

Hexadecimal: 4cd7

Square: 386948241

Square Root: 140.25334220616634

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

a(n) = (1/2)*(n³ - 6·n² + 13·n - 6). A158498

a(n) = 16·n² + 2·n + 1. A204675

a(n) = ∑_k=1..n k * τ(k)², where τ is A000005. A320896

Indices of primes in sequence defined by A(0) = 47, A(n) = 10·A(n-1) - 53 for n > 0. A101717

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array. A219768

Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1,0. A37753

Expansion of 1/((1-4x)(1-8x)(1-10x)). A19671

Number of (n+1)X(4+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235675

Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252509

Number of n X 3 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A284070