3,993,174

2 × 3² × 163 × 1361

Starting at 3,993,174, the Collatz iteration reaches 1 after 92 steps. The first transition is 1996587; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 163 × 1361

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,711,352

Proper Divisor Sum 4,718,178

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3993161 ← → #3993193

Radix Representation

Decimal	3993174
Binary	1111001110111001010110 (22 bits)
Octal	0o17167126
Hexadecimal	0x3CEE56

Divisor Catalog (24)

1 2 3 6 9 18 163 326 489 978 1,361 1,467 2,722 2,934 4,083 8,166 12,249 24,498 221,843 443,686 665,529 1,331,058 1,996,587 3,993,174

Collatz Trajectory (92 steps to reach 1)

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

3,993,174 1,996,587 5,989,762 2,994,881 8,984,644 4,492,322 2,246,161 6,738,484 3,369,242 1,684,621 5,053,864 2,526,932 1,263,466 631,733 1,895,200 947,600 473,800 236,900 118,450 59,225 177,676 88,838 44,419 133,258 66,629 199,888 99,944 49,972 24,986 12,493 37,480 18,740 9,370 4,685 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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