Properties of the Number 11337

Eleven Thousand Three Hundred Thirty-Seven

Basics

Value: 11336 → 11337 → 11338

Parity: odd

Prime: No

Previous Prime: 11329

Next Prime: 11351

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 3779

Divisors: 1, 3, 3779, 11337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110001001001

Octal: 26111

Duodecimal: 6689

Hexadecimal: 2c49

Square: 128527569

Square Root: 106.47534925981694

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

Sprague-Grundy values for octal game .11337. A71426

Number of 8's in the last section of the set of partitions of n. A206558

a(1)=1, a(n)=a(n-1)+n² if n odd, a(n)=a(n-1)+ n³ if n is even. A140149

Number of terms in polynomial sequence s(n) = (x·s(n-1)*s(n-4) + y·s(n-2)*s(n-3))/s(n-5), with s(k) = 1 for k = 0..4. A333260

G.f. A(x) satisfies: A(x) = 1 - ∑_k=1..3 (x·A(x))^k. A337512

Numbers k such that the continued fraction for sqrt(k) has period 88. A20427

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254906

Sum of the lengths of the arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A264100

Number of partitions of the n-th triangular number n*(n+1)/2 into a triangular number of triangular parts. A344707

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 70. A31568