Properties of the Number 22845

Twenty-Two Thousand Eight Hundred Forty-Five

Basics

Value: 22844 → 22845 → 22846

Parity: odd

Prime: No

Previous Prime: 22817

Next Prime: 22853

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1523

Divisors: 1, 3, 5, 15, 1523, 4569, 7615, 22845

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100100111101

Octal: 54475

Duodecimal: 11279

Hexadecimal: 593d

Square: 521894025

Square Root: 151.14562514343575

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) is the smallest m such that the partial sum of the odd harmonic series ∑_j=0..m 1/(2j+1) is > n. A92315

Backwards shallow diagonal sums of Catalan triangle A009766. A30238

a(n) = smallest m such that value of odd harmonic series ∑_j=0..m 1/(2j+1) is >= n. A92318

Expansion of 1/(1-x²*c(x)), c(x) the g.f. of A000108. A132364

a(n) is the least positive integer b such that b^2ⁿ + (b-1)^2ⁿ is prime. A253633

Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(4,17). A22031

T(m,n) is the least k such that the partial sum of the series ∑_j=0..k 1/(m·j+1) is > n, read by ascending antidiagonals. A337748

Expansion of 1/((1-x)*(1-5·x)*(1-9·x)*(1-10·x)). A22845

Numbers k with the property that p = k² - 11 and q = k² + 11 are consecutive primes. A248790