Properties of the Number 22407

Twenty-Two Thousand Four Hundred Seven

Basics

Value: 22406 → 22407 → 22408

Parity: odd

Prime: No

Previous Prime: 22397

Next Prime: 22409

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 11 × 97

Divisors: 1, 3, 7, 11, 21, 33, 77, 97, 231, 291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110000111

Octal: 53607

Duodecimal: 10B73

Hexadecimal: 5787

Square: 502073649

Square Root: 149.68967900292927

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

a(n) = ∑_k=1..n floor(n/k)⁴. A318743

Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having a total of k uhd and uHd strings. A247294

Triangle read by rows: T(n,k) = number of partitions of genus 2 of n elements with k parts (n >= 6, 2 <= k <= n-4). A297178

Number of base-2 strong pseudoprimes (A001262) less than 10ⁿ. A55552

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum. A372097

a(1) = a(2) = 1, a(n) = A007947(a(n-1)) + a(n-2), for n >= 3, i.e., a(n) = a(n-2) plus the largest squarefree divisor of a(n-1). A121368

a(n) = (7-4·7ⁿ)/3. A165759

Central column (ignoring the zeros) of A349813, or leading entries in rows of A349814. A349819

Irregular triangle read by rows: the right-hand side of the triangle in A349813. A349814

Triangle read by rows: T(n,k) = Stirling2(n+1,k)/binomial(k+1,2) if n-k is even, else 0 (1 <= k <= n). A363041