3,201,585

3 × 5 × 61 × 3499

3,201,585 factors as 3 × 5 × 61 × 3499. Its 16 positive divisors give a proper-divisor sum of 2,006,415, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 3499

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,208,000

Proper Divisor Sum 2,006,415

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3201581 ← → #3201589

Radix Representation

Decimal	3201585
Binary	1100001101101000110001 (22 bits)
Octal	0o14155061
Hexadecimal	0x30DA31

Divisor Catalog (16)

1 3 5 15 61 183 305 915 3,499 10,497 17,495 52,485 213,439 640,317 1,067,195 3,201,585

Collatz Trajectory (102 steps to reach 1)

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

3,201,585 9,604,756 4,802,378 2,401,189 7,203,568 3,601,784 1,800,892 900,446 450,223 1,350,670 675,335 2,026,006 1,013,003 3,039,010 1,519,505 4,558,516 2,279,258 1,139,629 3,418,888 1,709,444 854,722 427,361 1,282,084 641,042 320,521 961,564 480,782 240,391 721,174 360,587 1,081,762 540,881 1,622,644 811,322 405,661 1,216,984 608,492 304,246 152,123 456,370 228,185 684,556 342,278 171,139 513,418 256,709 770,128 385,064 192,532 96,266 48,133 144,400 72,200 36,100 18,050 9,025 27,076 13,538 6,769 20,308

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