Properties of the Number 21369

Twenty-One Thousand Three Hundred Sixty-Nine

Basics

Value: 21368 → 21369 → 21370

Parity: odd

Prime: No

Previous Prime: 21347

Next Prime: 21377

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 419

Divisors: 1, 3, 17, 51, 419, 1257, 7123, 21369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001101111001

Octal: 51571

Duodecimal: 10449

Hexadecimal: 5379

Square: 456634161

Square Root: 146.181394164921

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 A(n,k) of k-partite partitions of {n}^k into distinct k-tuples; square array A(n,k), n>=0, k>=0, read by antidiagonals. A219585

Number of partitions of n containing a clique of size 4. A183561

Cascadence of (1+x)³; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0. A120919

Number of tripartite partitions of (n,n,n) into distinct triples. A219560

a(n) = sum for all integer partitions of n of the number of distinct multiplicities in each partition. A373271

Row sums of triangle A091492. A91493

Number of 1's in A127962(n). A127963

Partial sums of binary rooted tree numbers. A14167

28-gonal pyramidal numbers: a(n) = n*(n+1)*(26·n-23)/6. A256648

Number of (binary) heaps of length n whose element set equals {1,2,3}. A376962