3,683,509

17 × 43 × 5039

Starting at 3,683,509, the Collatz iteration reaches 1 after 172 steps. The first transition is 11050528; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 43 × 5039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,991,680

Proper Divisor Sum 308,171

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3683503 ← → #3683527

Radix Representation

Decimal	3683509
Binary	1110000011010010110101 (22 bits)
Octal	0o16032265
Hexadecimal	0x3834B5

Divisor Catalog (8)

1 17 43 731 5,039 85,663 216,677 3,683,509

Collatz Trajectory (172 steps to reach 1)

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

3,683,509 11,050,528 5,525,264 2,762,632 1,381,316 690,658 345,329 1,035,988 517,994 258,997 776,992 388,496 194,248 97,124 48,562 24,281 72,844 36,422 18,211 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

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