Properties of the Number 13826

Thirteen Thousand Eight Hundred Twenty-Six

Basics

Value: 13825 → 13826 → 13827

Parity: even

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 31 × 223

Divisors: 1, 2, 31, 62, 223, 446, 6913, 13826

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000000010

Octal: 33002

Duodecimal: 8002

Hexadecimal: 3602

Square: 191158276

Square Root: 117.58401251870936

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 read by rows: T(n,k) is the number of binary pattern classes in the (7,n)-rectangular grid with k '1's and (7n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A228166

a(0) = 1, a(n) = 24·n² + 2 for n>0. A10014

a(n) = n³ + 2. A84380

Indices of records in A333549. A333551

Expansion of ∏_{1 <= i < j} (1 + x^i·j). A321286

a(n) = (n-1)*(n-2)*(n-3) + n. A34324

Gaps of 3 in sequence A038593 (upper terms). A38646

Sequence lists numbers k > 1 such that k³ == d(k) (mod σ(k)), where d = A000005 and σ = A000203. A323250

a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 odd positive integers}. A24202

a(n) = ∑_k=1..n (P(n,k) + C(n,k)). A97967