3,994,382

2 × 7² × 40759

Starting at 3,994,382, the Collatz iteration reaches 1 after 79 steps. The first transition is 1997191; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 40759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,969,960

Proper Divisor Sum 2,975,578

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3994369 ← → #3994391

Radix Representation

Decimal	3994382
Binary	1111001111001100001110 (22 bits)
Octal	0o17171416
Hexadecimal	0x3CF30E

Divisor Catalog (12)

1 2 7 14 49 98 40,759 81,518 285,313 570,626 1,997,191 3,994,382

Collatz Trajectory (79 steps to reach 1)

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

3,994,382 1,997,191 5,991,574 2,995,787 8,987,362 4,493,681 13,481,044 6,740,522 3,370,261 10,110,784 5,055,392 2,527,696 1,263,848 631,924 315,962 157,981 473,944 236,972 118,486 59,243 177,730 88,865 266,596 133,298 66,649 199,948 99,974 49,987 149,962 74,981 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704

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