329,137

17 × 19 × 1019

Starting at 329,137, the Collatz iteration reaches 1 after 91 steps. The first transition is 987412; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 19 × 1019

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 367,200

Proper Divisor Sum 38,063

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #329123 ← → #329143

Radix Representation

Decimal	329137
Binary	1010000010110110001 (19 bits)
Octal	0o1202661
Hexadecimal	0x505B1

Divisor Catalog (8)

1 17 19 323 1,019 17,323 19,361 329,137

Collatz Trajectory (91 steps to reach 1)

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

329,137 987,412 493,706 246,853 740,560 370,280 185,140 92,570 46,285 138,856 69,428 34,714 17,357 52,072 26,036 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096

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