Properties of the Number 13827

Thirteen Thousand Eight Hundred Twenty-Seven

Basics

Value: 13826 → 13827 → 13828

Parity: odd

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 419

Divisors: 1, 3, 11, 33, 419, 1257, 4609, 13827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011000000011

Octal: 33003

Duodecimal: 8003

Hexadecimal: 3603

Square: 191185929

Square Root: 117.58826472059191

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

Number of multiset partitions of integer partitions of n such that all blocks have odd size. A356932

a(n) = n³ + 3. A84378

Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357008

Irregular triangle read by rows: T(n,k) = number of meanders with n bridges in which the first bridge is bridge k. A259974

a(n) = running sum of the first n harmonic numbers, multiplied by the LCM of 1..n. A81530

Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k UDDU's. A135306

Number of Dyck paths of semilength n that do not contain the string UDDU. A135307

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w³<=x³+y³. A211807

Triangle read by rows: T(n,k) is the number of unlabeled simple series-reduced 2-connected graphs with n nodes and k edges (n >= 4, ceiling(3·n/2) <= k <= n*(n-1)/2). A339069

Numbers n such that φ(n + φ(n)) = σ(n). A74874