3,968,872

2³ × 19 × 26111

Starting at 3,968,872, the Collatz iteration reaches 1 after 185 steps. The first transition is 1984436; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 26111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,833,600

Proper Divisor Sum 3,864,728

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3968869 ← → #3968873

Radix Representation

Decimal	3968872
Binary	1111001000111101101000 (22 bits)
Octal	0o17107550
Hexadecimal	0x3C8F68

Divisor Catalog (16)

1 2 4 8 19 38 76 152 26,111 52,222 104,444 208,888 496,109 992,218 1,984,436 3,968,872

Collatz Trajectory (185 steps to reach 1)

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

3,968,872 1,984,436 992,218 496,109 1,488,328 744,164 372,082 186,041 558,124 279,062 139,531 418,594 209,297 627,892 313,946 156,973 470,920 235,460 117,730 58,865 176,596 88,298 44,149 132,448 66,224 33,112 16,556 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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