Properties of the Number 22417

Twenty-Two Thousand Four Hundred Seventeen

Basics

Value: 22416 → 22417 → 22418

Parity: odd

Prime: No

Previous Prime: 22409

Next Prime: 22433

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 29 × 773

Divisors: 1, 29, 773, 22417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110010001

Octal: 53621

Duodecimal: 10B81

Hexadecimal: 5791

Square: 502521889

Square Root: 149.7230777134908

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 integer partitions of n into an odd number of parts, the greatest of which is odd. A340385

O.g.f. A(x) satisfies: [xⁿ] exp( n² * x ) / A(x) = 0 for n>0. A304322

E.g.f.: A(x) = ∑_n>=0 exp(n²*x) * xⁿ/n!. A135746

Table of coefficients in row functions R(n,x) such that [x^k] exp( kⁿ * x ) / R(n,x) = 0 for k>=1 and n>=1. A304320

Triangle of numbers related to the generalized Catalan sequence C(3;n+1) = A064063(n+1), n>=0. A115154

Number of fixed n-polyominoids, allowing right-angled connections only ("hard" polyominoids). A365655

Sum of the largest parts of the partitions of n into 5 parts. A308827

Number of forests of B-trees of order 3 with n labeled leaves. A58518

a(n) = 7 + floor(∑_j=1..n-1 a(j) / 2). A120136

Total number of parts that are partition numbers A000041 in all partitions of n. A183088