3,789,731

11 × 167 × 2063

3,789,731 factors as 11 × 167 × 2063. Its 8 positive divisors give a proper-divisor sum of 371,293, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 11 × 167 × 2063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,161,024

Proper Divisor Sum 371,293

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3789713 ← → #3789739

Radix Representation

Decimal	3789731
Binary	1110011101001110100011 (22 bits)
Octal	0o16351643
Hexadecimal	0x39D3A3

Divisor Catalog (8)

1 11 167 1,837 2,063 22,693 344,521 3,789,731

Collatz Trajectory (128 steps to reach 1)

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

3,789,731 11,369,194 5,684,597 17,053,792 8,526,896 4,263,448 2,131,724 1,065,862 532,931 1,598,794 799,397 2,398,192 1,199,096 599,548 299,774 149,887 449,662 224,831 674,494 337,247 1,011,742 505,871 1,517,614 758,807 2,276,422 1,138,211 3,414,634 1,707,317 5,121,952 2,560,976 1,280,488 640,244 320,122 160,061 480,184 240,092 120,046 60,023 180,070 90,035 270,106 135,053 405,160 202,580 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668

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