3,864,014

2 × 7 × 11² × 2281

3,864,014 factors as 2 × 7 × 11^2 × 2281. Its 24 positive divisors give a proper-divisor sum of 3,420,130, so this integer is deficient. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 2281

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,284,144

Proper Divisor Sum 3,420,130

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3863987 ← → #3864019

Radix Representation

Decimal	3864014
Binary	1110101111010111001110 (22 bits)
Octal	0o16572716
Hexadecimal	0x3AF5CE

Divisor Catalog (24)

Collatz Trajectory (322 steps to reach 1)

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

3,864,014 1,932,007 5,796,022 2,898,011 8,694,034 4,347,017 13,041,052 6,520,526 3,260,263 9,780,790 4,890,395 14,671,186 7,335,593 22,006,780 11,003,390 5,501,695 16,505,086 8,252,543 24,757,630 12,378,815 37,136,446 18,568,223 55,704,670 27,852,335 83,557,006 41,778,503 125,335,510 62,667,755 188,003,266 94,001,633 282,004,900 141,002,450 70,501,225 211,503,676 105,751,838 52,875,919 158,627,758 79,313,879 237,941,638 118,970,819 356,912,458 178,456,229 535,368,688 267,684,344 133,842,172 66,921,086 33,460,543 100,381,630 50,190,815 150,572,446 75,286,223 225,858,670 112,929,335 338,788,006 169,394,003 508,182,010 254,091,005 762,273,016 381,136,508 190,568,254

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