3,937,892

2² × 7 × 140639

3,937,892 factors as 2^2 × 7 × 140639. Its 12 positive divisors give a proper-divisor sum of 3,937,948, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 140639

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,875,840

Proper Divisor Sum 3,937,948

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3937877 ← → #3937903

Radix Representation

Decimal	3937892
Binary	1111000001011001100100 (22 bits)
Octal	0o17013144
Hexadecimal	0x3C1664

Divisor Catalog (12)

1 2 4 7 14 28 140,639 281,278 562,556 984,473 1,968,946 3,937,892

Collatz Trajectory (185 steps to reach 1)

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

3,937,892 1,968,946 984,473 2,953,420 1,476,710 738,355 2,215,066 1,107,533 3,322,600 1,661,300 830,650 415,325 1,245,976 622,988 311,494 155,747 467,242 233,621 700,864 350,432 175,216 87,608 43,804 21,902 10,951 32,854 16,427 49,282 24,641 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695

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