3,201,005

5 × 137 × 4673

3,201,005 factors as 5 × 137 × 4673. Its 8 positive divisors give a proper-divisor sum of 669,067, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 5 × 137 × 4673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,870,072

Proper Divisor Sum 669,067

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #3200999 ← → #3201007

Radix Representation

Decimal	3201005
Binary	1100001101011111101101 (22 bits)
Octal	0o14153755
Hexadecimal	0x30D7ED

Divisor Catalog (8)

1 5 137 685 4,673 23,365 640,201 3,201,005

Collatz Trajectory (120 steps to reach 1)

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

3,201,005 9,603,016 4,801,508 2,400,754 1,200,377 3,601,132 1,800,566 900,283 2,700,850 1,350,425 4,051,276 2,025,638 1,012,819 3,038,458 1,519,229 4,557,688 2,278,844 1,139,422 569,711 1,709,134 854,567 2,563,702 1,281,851 3,845,554 1,922,777 5,768,332 2,884,166 1,442,083 4,326,250 2,163,125 6,489,376 3,244,688 1,622,344 811,172 405,586 202,793 608,380 304,190 152,095 456,286 228,143 684,430 342,215 1,026,646 513,323 1,539,970 769,985 2,309,956 1,154,978 577,489 1,732,468 866,234 433,117 1,299,352 649,676 324,838 162,419 487,258 243,629 730,888

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