3,263,260

2² × 5 × 7 × 11 × 13 × 163

3,263,260 factors as 2^2 × 5 × 7 × 11 × 13 × 163. Its 96 positive divisors give a proper-divisor sum of 5,994,212, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 13 × 163

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,257,472

Proper Divisor Sum 5,994,212

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3263243 ← → #3263287

Radix Representation

Decimal	3263260
Binary	1100011100101100011100 (22 bits)
Octal	0o14345434
Hexadecimal	0x31CB1C

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 163 182 220 260 286 308 326 364 385 455 572 652 715 770 815 910 1,001 1,141 1,430 1,540 1,630 1,793 1,820 2,002 2,119 2,282 2,860 3,260 3,586 4,004 4,238 4,564 5,005 5,705

Collatz Trajectory (115 steps to reach 1)

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

3,263,260 1,631,630 815,815 2,447,446 1,223,723 3,671,170 1,835,585 5,506,756 2,753,378 1,376,689 4,130,068 2,065,034 1,032,517 3,097,552 1,548,776 774,388 387,194 193,597 580,792 290,396 145,198 72,599 217,798 108,899 326,698 163,349 490,048 245,024 122,512 61,256 30,628 15,314 7,657 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451

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