3,789,720

2³ × 3³ × 5 × 11² × 29

3,789,720 factors as 2^3 × 3^3 × 5 × 11^2 × 29. Its 192 positive divisors give a proper-divisor sum of 10,574,280, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 11^2 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 14,364,000

Proper Divisor Sum 10,574,280

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3789713 ← → #3789739

Radix Representation

Decimal	3789720
Binary	1110011101001110011000 (22 bits)
Octal	0o16351630
Hexadecimal	0x39D398

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 29 30 33 36 40 44 45 54 55 58 60 66 72 87 88 90 99 108 110 116 120 121 132 135 145 165 174 180 198 216 220 232 242 261 264 270 290 297 319 330 348 360 363

Collatz Trajectory (128 steps to reach 1)

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

3,789,720 1,894,860 947,430 473,715 1,421,146 710,573 2,131,720 1,065,860 532,930 266,465 799,396 399,698 199,849 599,548 299,774 149,887 449,662 224,831 674,494 337,247 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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