4,472,636

2² × 7 × 159737

Starting at 4,472,636, the Collatz iteration reaches 1 after 118 steps. The first transition is 2236318; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 159737

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,945,328

Proper Divisor Sum 4,472,692

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4472627 ← → #4472651

Radix Representation

Decimal	4472636
Binary	10001000011111100111100 (23 bits)
Octal	0o21037474
Hexadecimal	0x443F3C

Divisor Catalog (12)

1 2 4 7 14 28 159,737 319,474 638,948 1,118,159 2,236,318 4,472,636

Collatz Trajectory (118 steps to reach 1)

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

4,472,636 2,236,318 1,118,159 3,354,478 1,677,239 5,031,718 2,515,859 7,547,578 3,773,789 11,321,368 5,660,684 2,830,342 1,415,171 4,245,514 2,122,757 6,368,272 3,184,136 1,592,068 796,034 398,017 1,194,052 597,026 298,513 895,540 447,770 223,885 671,656 335,828 167,914 83,957 251,872 125,936 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372

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