3,900,725

5² × 37 × 4217

3,900,725 factors as 5^2 × 37 × 4217. Its 12 positive divisors give a proper-divisor sum of 1,068,079, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 4217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,968,804

Proper Divisor Sum 1,068,079

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3900707 ← → #3900733

Radix Representation

Decimal	3900725
Binary	1110111000010100110101 (22 bits)
Octal	0o16702465
Hexadecimal	0x3B8535

Divisor Catalog (12)

1 5 25 37 185 925 4,217 21,085 105,425 156,029 780,145 3,900,725

Collatz Trajectory (97 steps to reach 1)

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

3,900,725 11,702,176 5,851,088 2,925,544 1,462,772 731,386 365,693 1,097,080 548,540 274,270 137,135 411,406 205,703 617,110 308,555 925,666 462,833 1,388,500 694,250 347,125 1,041,376 520,688 260,344 130,172 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124

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