3,654,825

3 × 5² × 48731

3,654,825 factors as 3 × 5^2 × 48731. Its 12 positive divisors give a proper-divisor sum of 2,387,943, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 48731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,042,768

Proper Divisor Sum 2,387,943

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3654809 ← → #3654829

Radix Representation

Decimal	3654825
Binary	1101111100010010101001 (22 bits)
Octal	0o15742251
Hexadecimal	0x37C4A9

Divisor Catalog (12)

1 3 5 15 25 75 48,731 146,193 243,655 730,965 1,218,275 3,654,825

Collatz Trajectory (146 steps to reach 1)

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

3,654,825 10,964,476 5,482,238 2,741,119 8,223,358 4,111,679 12,335,038 6,167,519 18,502,558 9,251,279 27,753,838 13,876,919 41,630,758 20,815,379 62,446,138 31,223,069 93,669,208 46,834,604 23,417,302 11,708,651 35,125,954 17,562,977 52,688,932 26,344,466 13,172,233 39,516,700 19,758,350 9,879,175 29,637,526 14,818,763 44,456,290 22,228,145 66,684,436 33,342,218 16,671,109 50,013,328 25,006,664 12,503,332 6,251,666 3,125,833 9,377,500 4,688,750 2,344,375 7,033,126 3,516,563 10,549,690 5,274,845 15,824,536 7,912,268 3,956,134 1,978,067 5,934,202 2,967,101 8,901,304 4,450,652 2,225,326 1,112,663 3,337,990 1,668,995 5,006,986

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