3,603,201

3 × 7 × 17 × 10093

3,603,201 factors as 3 × 7 × 17 × 10093. Its 16 positive divisors give a proper-divisor sum of 2,210,943, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 10093

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,814,144

Proper Divisor Sum 2,210,943

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3603169 ← → #3603227

Radix Representation

Decimal	3603201
Binary	1101101111101100000001 (22 bits)
Octal	0o15575401
Hexadecimal	0x36FB01

Divisor Catalog (16)

1 3 7 17 21 51 119 357 10,093 30,279 70,651 171,581 211,953 514,743 1,201,067 3,603,201

Collatz Trajectory (89 steps to reach 1)

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

3,603,201 10,809,604 5,404,802 2,702,401 8,107,204 4,053,602 2,026,801 6,080,404 3,040,202 1,520,101 4,560,304 2,280,152 1,140,076 570,038 285,019 855,058 427,529 1,282,588 641,294 320,647 961,942 480,971 1,442,914 721,457 2,164,372 1,082,186 541,093 1,623,280 811,640 405,820 202,910 101,455 304,366 152,183 456,550 228,275 684,826 342,413 1,027,240 513,620 256,810 128,405 385,216 192,608 96,304 48,152 24,076 12,038 6,019 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635

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