873,625

5³ × 29 × 241

Starting at 873,625, the Collatz iteration reaches 1 after 144 steps. The first transition is 2620876; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 29 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,132,560

Proper Divisor Sum 258,935

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #873619 ← → #873641

Radix Representation

Decimal	873625
Binary	11010101010010011001 (20 bits)
Octal	0o3252231
Hexadecimal	0xD5499

Divisor Catalog (16)

1 5 25 29 125 145 241 725 1,205 3,625 6,025 6,989 30,125 34,945 174,725 873,625

Collatz Trajectory (144 steps to reach 1)

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

873,625 2,620,876 1,310,438 655,219 1,965,658 982,829 2,948,488 1,474,244 737,122 368,561 1,105,684 552,842 276,421 829,264 414,632 207,316 103,658 51,829 155,488 77,744 38,872 19,436 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155

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