4,737,728

2⁶ × 74027

Starting at 4,737,728, the Collatz iteration reaches 1 after 100 steps. The first transition is 2368864; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 74027

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 9,401,556

Proper Divisor Sum 4,663,828

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4737727 ← → #4737731

Radix Representation

Decimal	4737728
Binary	10010000100101011000000 (23 bits)
Octal	0o22045300
Hexadecimal	0x484AC0

Divisor Catalog (14)

1 2 4 8 16 32 64 74,027 148,054 296,108 592,216 1,184,432 2,368,864 4,737,728

Collatz Trajectory (100 steps to reach 1)

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

4,737,728 2,368,864 1,184,432 592,216 296,108 148,054 74,027 222,082 111,041 333,124 166,562 83,281 249,844 124,922 62,461 187,384 93,692 46,846 23,423 70,270 35,135 105,406 52,703 158,110 79,055 237,166 118,583 355,750 177,875 533,626 266,813 800,440 400,220 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836

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