3,907,112

2³ × 11 × 29 × 1531

3,907,112 factors as 2^3 × 11 × 29 × 1531. Its 32 positive divisors give a proper-divisor sum of 4,365,688, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,272,800

Proper Divisor Sum 4,365,688

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3907097 ← → #3907121

Radix Representation

Decimal	3907112
Binary	1110111001111000101000 (22 bits)
Octal	0o16717050
Hexadecimal	0x3B9E28

Divisor Catalog (32)

Collatz Trajectory (185 steps to reach 1)

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

3,907,112 1,953,556 976,778 488,389 1,465,168 732,584 366,292 183,146 91,573 274,720 137,360 68,680 34,340 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689

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