22,529

13 × 1733

22,529 factors as 13 × 1733. Its 4 positive divisors give a proper-divisor sum of 1,747, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 13 × 1733

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 24,276

Proper Divisor Sum 1,747

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #22511 ← → #22531

Radix Representation

Decimal	22529
Binary	101100000000001 (15 bits)
Octal	0o54001
Hexadecimal	0x5801

Divisor Catalog (4)

1 13 1,733 22,529

Collatz Trajectory (131 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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