Properties of the Number 15844

Fifteen Thousand Eight Hundred Forty-Four

Basics

Value: 15843 → 15844 → 15845

Parity: even

Prime: No

Previous Prime: 15823

Next Prime: 15859

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 17 × 233

Divisors: 1, 2, 4, 17, 34, 68, 233, 466, 932, 3961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110111100100

Octal: 36744

Duodecimal: 9204

Hexadecimal: 3de4

Square: 251032336

Square Root: 125.8729518204765

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 n such that there is no square n-gonal number greater than 1. A188896

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally. A232839

4 times 9-gonal numbers: a(n) = 2·n*(7·n-5). A152760

a(n) = floor( γ(n+2/9) / γ(2/9) ). A20068

a(n) = 8·n² + 8·n + 4. A108099

Numbers n such that the decimal number concat(3,n) is a square. A273358

T(n,k)=Number of nXk binary arrays with every 1 immediately preceded by 0 0 to the left or above. A203108

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically. A232431

Consider the version of the Collatz or 3x+1 problem where x -> x/2 if·is even, x -> (3x+1)/2 if·is odd. Define the stopping time of·to be the number of steps needed to reach 1. Sequence gives the number of integers·with stopping time n. A60322

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 2·n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296776