602,172

2² × 3² × 43 × 389

Starting at 602,172, the Collatz iteration reaches 1 after 66 steps. The first transition is 301086; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,561,560

Proper Divisor Sum 959,388

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #602153 ← → #602179

Radix Representation

Decimal	602172
Binary	10010011000000111100 (20 bits)
Octal	0o2230074
Hexadecimal	0x9303C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 389 516 774 778 1,167 1,548 1,556 2,334 3,501 4,668 7,002 14,004 16,727 33,454 50,181 66,908 100,362 150,543 200,724 301,086 602,172

Collatz Trajectory (66 steps to reach 1)

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

602,172 301,086 150,543 451,630 225,815 677,446 338,723 1,016,170 508,085 1,524,256 762,128 381,064 190,532 95,266 47,633 142,900 71,450 35,725 107,176 53,588 26,794 13,397 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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