3,989,946

2 × 3 × 53 × 12547

3,989,946 factors as 2 × 3 × 53 × 12547. Its 16 positive divisors give a proper-divisor sum of 4,141,158, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 12547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,131,104

Proper Divisor Sum 4,141,158

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #3989941 ← → #3989957

Radix Representation

Decimal	3989946
Binary	1111001110000110111010 (22 bits)
Octal	0o17160672
Hexadecimal	0x3CE1BA

Divisor Catalog (16)

1 2 3 6 53 106 159 318 12,547 25,094 37,641 75,282 664,991 1,329,982 1,994,973 3,989,946

Collatz Trajectory (141 steps to reach 1)

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

3,989,946 1,994,973 5,984,920 2,992,460 1,496,230 748,115 2,244,346 1,122,173 3,366,520 1,683,260 841,630 420,815 1,262,446 631,223 1,893,670 946,835 2,840,506 1,420,253 4,260,760 2,130,380 1,065,190 532,595 1,597,786 798,893 2,396,680 1,198,340 599,170 299,585 898,756 449,378 224,689 674,068 337,034 168,517 505,552 252,776 126,388 63,194 31,597 94,792 47,396 23,698 11,849 35,548 17,774 8,887 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312

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