3,960,044

2² × 11 × 90001

3,960,044 factors as 2^2 × 11 × 90001. Its 12 positive divisors give a proper-divisor sum of 3,600,124, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 90001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,560,168

Proper Divisor Sum 3,600,124

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3960029 ← → #3960049

Radix Representation

Decimal	3960044
Binary	1111000110110011101100 (22 bits)
Octal	0o17066354
Hexadecimal	0x3C6CEC

Divisor Catalog (12)

1 2 4 11 22 44 90,001 180,002 360,004 990,011 1,980,022 3,960,044

Collatz Trajectory (167 steps to reach 1)

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

3,960,044 1,980,022 990,011 2,970,034 1,485,017 4,455,052 2,227,526 1,113,763 3,341,290 1,670,645 5,011,936 2,505,968 1,252,984 626,492 313,246 156,623 469,870 234,935 704,806 352,403 1,057,210 528,605 1,585,816 792,908 396,454 198,227 594,682 297,341 892,024 446,012 223,006 111,503 334,510 167,255 501,766 250,883 752,650 376,325 1,128,976 564,488 282,244 141,122 70,561 211,684 105,842 52,921 158,764 79,382 39,691 119,074 59,537 178,612 89,306 44,653 133,960 66,980 33,490 16,745 50,236 25,118

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