3,764,328

2³ × 3 × 67 × 2341

Starting at 3,764,328, the Collatz iteration reaches 1 after 110 steps. The first transition is 1882164; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 67 × 2341

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,555,360

Proper Divisor Sum 5,791,032

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3764323 ← → #3764329

Radix Representation

Decimal	3764328
Binary	1110010111000001101000 (22 bits)
Octal	0o16270150
Hexadecimal	0x397068

Divisor Catalog (32)

1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1,608 2,341 4,682 7,023 9,364 14,046 18,728 28,092 56,184 156,847 313,694 470,541 627,388 941,082 1,254,776 1,882,164 3,764,328

Collatz Trajectory (110 steps to reach 1)

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

3,764,328 1,882,164 941,082 470,541 1,411,624 705,812 352,906 176,453 529,360 264,680 132,340 66,170 33,085 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665

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