4,442,388

2² × 3 × 370199

Starting at 4,442,388, the Collatz iteration reaches 1 after 136 steps. The first transition is 2221194; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 370199

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,365,600

Proper Divisor Sum 5,923,212

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4442387 ← → #4442401

Radix Representation

Decimal	4442388
Binary	10000111100100100010100 (23 bits)
Octal	0o20744424
Hexadecimal	0x43C914

Divisor Catalog (12)

1 2 3 4 6 12 370,199 740,398 1,110,597 1,480,796 2,221,194 4,442,388

Collatz Trajectory (136 steps to reach 1)

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

4,442,388 2,221,194 1,110,597 3,331,792 1,665,896 832,948 416,474 208,237 624,712 312,356 156,178 78,089 234,268 117,134 58,567 175,702 87,851 263,554 131,777 395,332 197,666 98,833 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790

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