3,825,025

5² × 153001

3,825,025 factors as 5^2 × 153001. Its 6 positive divisors give a proper-divisor sum of 918,037, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 5^2 × 153001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,743,062

Proper Divisor Sum 918,037

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3825011 ← → #3825043

Radix Representation

Decimal	3825025
Binary	1110100101110110000001 (22 bits)
Octal	0o16456601
Hexadecimal	0x3A5D81

Divisor Catalog (6)

1 5 25 153,001 765,005 3,825,025

Collatz Trajectory (185 steps to reach 1)

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

3,825,025 11,475,076 5,737,538 2,868,769 8,606,308 4,303,154 2,151,577 6,454,732 3,227,366 1,613,683 4,841,050 2,420,525 7,261,576 3,630,788 1,815,394 907,697 2,723,092 1,361,546 680,773 2,042,320 1,021,160 510,580 255,290 127,645 382,936 191,468 95,734 47,867 143,602 71,801 215,404 107,702 53,851 161,554 80,777 242,332 121,166 60,583 181,750 90,875 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567

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