Properties of the Number 12337

Twelve Thousand Three Hundred Thirty-Seven

Basics

Value: 12336 → 12337 → 12338

Parity: odd

Prime: No

Previous Prime: 12329

Next Prime: 12343

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 ² × 73

Divisors: 1, 13, 73, 169, 949, 12337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000110001

Octal: 30061

Duodecimal: 7181

Hexadecimal: 3031

Square: 152201569

Square Root: 111.07204868912791

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

Irregular triangle: T(n,k) gives the number of k-polysticks on edges of the n-cube up to isometries of the n-cube, with 0 <= k <= A001787(n). A333333

Composites that use the same digits as their prime factorization. A25283

Number of integer partitions of n > 0 where the maximum part minus the minimum part equals the length minus the number of distinct parts. A324516

Sum of the coefficients of the n-th Moebius polynomial, M(n,x), where M(n,-1) = μ(n), the Moebius function of n. A74587

Number of vertices formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts. A355949

Start from the singleton set S = {n}, and unless 1 is already a member of S, generate on each iteration a new set where each odd number k is replaced by 3k+1, and each even number k is replaced by 3k+1 and k/2. a(n) is the size of the set after the first iteration which has produced 1 as a member. A290100

Numbers n such that n and the n-th prime have the same digits. A74350

Sum of n-th row of A083764 divided by n. A83767

Positive numbers y such that y² is of the form x²+(x+73)² with integer x. A160041

Lucky numbers with size of gaps equal to 20 (lower terms). A31902