6,933,725

5² × 53 × 5233

Starting at 6,933,725, the Collatz iteration reaches 1 after 160 steps. The first transition is 20801176; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 53 × 5233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,761,716

Proper Divisor Sum 1,827,991

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6933721 ← → #6933749

Radix Representation

Decimal	6933725
Binary	11010011100110011011101 (23 bits)
Octal	0o32346335
Hexadecimal	0x69CCDD

Divisor Catalog (12)

1 5 25 53 265 1,325 5,233 26,165 130,825 277,349 1,386,745 6,933,725

Collatz Trajectory (160 steps to reach 1)

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

6,933,725 20,801,176 10,400,588 5,200,294 2,600,147 7,800,442 3,900,221 11,700,664 5,850,332 2,925,166 1,462,583 4,387,750 2,193,875 6,581,626 3,290,813 9,872,440 4,936,220 2,468,110 1,234,055 3,702,166 1,851,083 5,553,250 2,776,625 8,329,876 4,164,938 2,082,469 6,247,408 3,123,704 1,561,852 780,926 390,463 1,171,390 585,695 1,757,086 878,543 2,635,630 1,317,815 3,953,446 1,976,723 5,930,170 2,965,085 8,895,256 4,447,628 2,223,814 1,111,907 3,335,722 1,667,861 5,003,584 2,501,792 1,250,896 625,448 312,724 156,362 78,181 234,544 117,272 58,636 29,318 14,659 43,978

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