Properties of the Number 7337

Seven Thousand Three Hundred Thirty-Seven

Basics

Value: 7336 → 7337 → 7338

Parity: odd

Prime: No

Previous Prime: 7333

Next Prime: 7349

Digit Sum: 20

Digital Root: 2

Palindrome: Yes

Factorization: 11 × 23 × 29

Divisors: 1, 11, 23, 29, 253, 319, 667, 7337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101001

Octal: 16251

Duodecimal: 42B5

Hexadecimal: 1ca9

Square: 53831569

Square Root: 85.65628990331066

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

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

Expansion of 1/((1-x)⁴*(1+x)). A2623

Partial sums of the partition numbers A000041 of the positive integers. A26905

Sum of 12 nonzero 8th powers. A3390

a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2). A23855

a(n) = n*(14·n-3). A185019

Partial sums of A002620. A173196

Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p. A324315

20-gonal (or icosagonal) numbers: a(n) = n*(9·n-8). A51872

Number of permutations q₁,...,q_n of the first n primes p₁,...,p_n with q₁ = p₁ = 2 and q_n = p_n, and with |q₁-q₂|, |q₂-q₃|, ..., |q_n-1-q_n|, and |q_n-q₁| (if n>2) pairwise distinct. A185645