3,201,576

2³ × 3 × 7 × 17 × 19 × 59

3,201,576 factors as 2^3 × 3 × 7 × 17 × 19 × 59. Its 128 positive divisors give a proper-divisor sum of 7,166,424, so this integer is abundant. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 17 × 19 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 10,368,000

Proper Divisor Sum 7,166,424

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3201551 ← → #3201581

Radix Representation

Decimal	3201576
Binary	1100001101101000101000 (22 bits)
Octal	0o14155050
Hexadecimal	0x30DA28

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 59 68 76 84 102 114 118 119 133 136 152 168 177 204 228 236 238 266 323 354 357 399 408 413 456 472 476 532 646 708 714 798 826 952 969 1,003 1,064 1,121 1,239 1,292

Collatz Trajectory (239 steps to reach 1)

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

3,201,576 1,600,788 800,394 400,197 1,200,592 600,296 300,148 150,074 75,037 225,112 112,556 56,278 28,139 84,418 42,209 126,628 63,314 31,657 94,972 47,486 23,743 71,230 35,615 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385

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