3,201,615

3² × 5 × 71147

3,201,615 factors as 3^2 × 5 × 71147. Its 12 positive divisors give a proper-divisor sum of 2,347,929, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 71147

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,549,544

Proper Divisor Sum 2,347,929

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3201589 ← → #3201617

Radix Representation

Decimal	3201615
Binary	1100001101101001001111 (22 bits)
Octal	0o14155117
Hexadecimal	0x30DA4F

Divisor Catalog (12)

1 3 5 9 15 45 71,147 213,441 355,735 640,323 1,067,205 3,201,615

Collatz Trajectory (94 steps to reach 1)

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

3,201,615 9,604,846 4,802,423 14,407,270 7,203,635 21,610,906 10,805,453 32,416,360 16,208,180 8,104,090 4,052,045 12,156,136 6,078,068 3,039,034 1,519,517 4,558,552 2,279,276 1,139,638 569,819 1,709,458 854,729 2,564,188 1,282,094 641,047 1,923,142 961,571 2,884,714 1,442,357 4,327,072 2,163,536 1,081,768 540,884 270,442 135,221 405,664 202,832 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388

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