3,629,025

3² × 5² × 127²

3,629,025 factors as 3^2 × 5^2 × 127^2. Its 27 positive divisors give a proper-divisor sum of 2,922,546, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 127^2

Distinct Prime Factors 3

Square Status Yes (√3629025 = 1905)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 6,551,571

Proper Divisor Sum 2,922,546

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3628991 ← → #3629027

Radix Representation

Decimal	3629025
Binary	1101110101111111100001 (22 bits)
Octal	0o15657741
Hexadecimal	0x375FE1

Divisor Catalog (27)

1 3 5 9 15 25 45 75 127 225 381 635 1,143 1,905 3,175 5,715 9,525 16,129 28,575 48,387 80,645 145,161 241,935 403,225 725,805 1,209,675 3,629,025

Collatz Trajectory (190 steps to reach 1)

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

3,629,025 10,887,076 5,443,538 2,721,769 8,165,308 4,082,654 2,041,327 6,123,982 3,061,991 9,185,974 4,592,987 13,778,962 6,889,481 20,668,444 10,334,222 5,167,111 15,501,334 7,750,667 23,252,002 11,626,001 34,878,004 17,439,002 8,719,501 26,158,504 13,079,252 6,539,626 3,269,813 9,809,440 4,904,720 2,452,360 1,226,180 613,090 306,545 919,636 459,818 229,909 689,728 344,864 172,432 86,216 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838

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