3,671,625

3 × 5³ × 9791

Prime Factor Structure

Factorization String 3 × 5^3 × 9791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,110,208

Proper Divisor Sum 2,438,583

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3671599 ← → #3671627

Radix Representation

Decimal	3671625
Binary	1110000000011001001001 (22 bits)
Octal	0o16003111
Hexadecimal	0x380649

Divisor Catalog (16)

1 3 5 15 25 75 125 375 9,791 29,373 48,955 146,865 244,775 734,325 1,223,875 3,671,625

Collatz Trajectory (172 steps to reach 1)

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

3,671,625 11,014,876 5,507,438 2,753,719 8,261,158 4,130,579 12,391,738 6,195,869 18,587,608 9,293,804 4,646,902 2,323,451 6,970,354 3,485,177 10,455,532 5,227,766 2,613,883 7,841,650 3,920,825 11,762,476 5,881,238 2,940,619 8,821,858 4,410,929 13,232,788 6,616,394 3,308,197 9,924,592 4,962,296 2,481,148 1,240,574 620,287 1,860,862 930,431 2,791,294 1,395,647 4,186,942 2,093,471 6,280,414 3,140,207 9,420,622 4,710,311 14,130,934 7,065,467 21,196,402 10,598,201 31,794,604 15,897,302 7,948,651 23,845,954 11,922,977 35,768,932 17,884,466 8,942,233 26,826,700 13,413,350 6,706,675 20,120,026 10,060,013 30,180,040

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