3,830,389

17 × 293 × 769

Starting at 3,830,389, the Collatz iteration reaches 1 after 216 steps. The first transition is 11491168; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 293 × 769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,074,840

Proper Divisor Sum 244,451

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3830377 ← → #3830401

Radix Representation

Decimal	3830389
Binary	1110100111001001110101 (22 bits)
Octal	0o16471165
Hexadecimal	0x3A7275

Divisor Catalog (8)

1 17 293 769 4,981 13,073 225,317 3,830,389

Collatz Trajectory (216 steps to reach 1)

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

3,830,389 11,491,168 5,745,584 2,872,792 1,436,396 718,198 359,099 1,077,298 538,649 1,615,948 807,974 403,987 1,211,962 605,981 1,817,944 908,972 454,486 227,243 681,730 340,865 1,022,596 511,298 255,649 766,948 383,474 191,737 575,212 287,606 143,803 431,410 215,705 647,116 323,558 161,779 485,338 242,669 728,008 364,004 182,002 91,001 273,004 136,502 68,251 204,754 102,377 307,132 153,566 76,783 230,350 115,175 345,526 172,763 518,290 259,145 777,436 388,718 194,359 583,078 291,539 874,618

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