3,735,686

2 × 31 × 89 × 677

3,735,686 factors as 2 × 31 × 89 × 677. Its 16 positive divisors give a proper-divisor sum of 2,122,234, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 31 × 89 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,857,920

Proper Divisor Sum 2,122,234

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3735679 ← → #3735709

Radix Representation

Decimal	3735686
Binary	1110010000000010000110 (22 bits)
Octal	0o16200206
Hexadecimal	0x390086

Divisor Catalog (16)

1 2 31 62 89 178 677 1,354 2,759 5,518 20,987 41,974 60,253 120,506 1,867,843 3,735,686

Collatz Trajectory (97 steps to reach 1)

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

3,735,686 1,867,843 5,603,530 2,801,765 8,405,296 4,202,648 2,101,324 1,050,662 525,331 1,575,994 787,997 2,363,992 1,181,996 590,998 295,499 886,498 443,249 1,329,748 664,874 332,437 997,312 498,656 249,328 124,664 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704

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