Properties of the Number 9936

Nine Thousand Nine Hundred Thirty-Six

Basics

Value: 9935 → 9936 → 9937

Parity: even

Prime: No

Previous Prime: 9931

Next Prime: 9941

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 23

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011010000

Octal: 23320

Duodecimal: 5900

Hexadecimal: 26d0

Square: 98724096

Square Root: 99.67948635501689

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

Expansion of ∑_k>=0 x^k²+k/((1-x)(1-x²)...(1-x^2k)). A122134

Enneagorials: n-th polygorial for k=9. A84942

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles, including fixed points. A165076

a(n) = ∏_k>=0 (1 + floor(n/2^k)). A132269

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252574

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles of length greater than 1. A165078

Smallest member of cycle corresponding to n-th term of A165087. A165088

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives least elements of each cycle, including fixed points. A165080

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives least elements of each cycle of length > 1. A165082

Numbers without comma-successors: these are the numbers k such that if the commas sequence A121805 is started at k instead of 1, there is no second term. A367341