3,327,373

7 × 29 × 37 × 443

Starting at 3,327,373, the Collatz iteration reaches 1 after 115 steps. The first transition is 9982120; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 29 × 37 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,049,280

Proper Divisor Sum 721,907

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3327371 ← → #3327377

Radix Representation

Decimal	3327373
Binary	1100101100010110001101 (22 bits)
Octal	0o14542615
Hexadecimal	0x32C58D

Divisor Catalog (16)

1 7 29 37 203 259 443 1,073 3,101 7,511 12,847 16,391 89,929 114,737 475,339 3,327,373

Collatz Trajectory (115 steps to reach 1)

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

3,327,373 9,982,120 4,991,060 2,495,530 1,247,765 3,743,296 1,871,648 935,824 467,912 233,956 116,978 58,489 175,468 87,734 43,867 131,602 65,801 197,404 98,702 49,351 148,054 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

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