3,085,290

2 × 3⁴ × 5 × 13 × 293

3,085,290 factors as 2 × 3^4 × 5 × 13 × 293. Its 80 positive divisors give a proper-divisor sum of 5,879,358, so this integer is abundant. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 13 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 8,964,648

Proper Divisor Sum 5,879,358

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3085273 ← → #3085297

Radix Representation

Decimal	3085290
Binary	1011110001001111101010 (22 bits)
Octal	0o13611752
Hexadecimal	0x2F13EA

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 293 351 390 405 585 586 702 810 879 1,053 1,170 1,465 1,755 1,758 2,106 2,637 2,930 3,510 3,809 4,395 5,265 5,274 7,618 7,911 8,790 10,530 11,427 13,185 15,822 19,045 22,854 23,733 26,370

Collatz Trajectory (257 steps to reach 1)

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

3,085,290 1,542,645 4,627,936 2,313,968 1,156,984 578,492 289,246 144,623 433,870 216,935 650,806 325,403 976,210 488,105 1,464,316 732,158 366,079 1,098,238 549,119 1,647,358 823,679 2,471,038 1,235,519 3,706,558 1,853,279 5,559,838 2,779,919 8,339,758 4,169,879 12,509,638 6,254,819 18,764,458 9,382,229 28,146,688 14,073,344 7,036,672 3,518,336 1,759,168 879,584 439,792 219,896 109,948 54,974 27,487 82,462 41,231 123,694 61,847 185,542 92,771 278,314 139,157 417,472 208,736 104,368 52,184 26,092 13,046 6,523 19,570

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