3,036,726

2 × 3² × 7² × 11 × 313

3,036,726 factors as 2 × 3^2 × 7^2 × 11 × 313. Its 72 positive divisors give a proper-divisor sum of 5,339,538, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 11 × 313

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,376,264

Proper Divisor Sum 5,339,538

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3036661 ← → #3036731

Radix Representation

Decimal	3036726
Binary	1011100101011000110110 (22 bits)
Octal	0o13453066
Hexadecimal	0x2E5636

Divisor Catalog (60 of 72)

1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 313 441 462 539 626 693 882 939 1,078 1,386 1,617 1,878 2,191 2,817 3,234 3,443 4,382 4,851 5,634 6,573 6,886 9,702 10,329 13,146 15,337 19,719 20,658 24,101 30,674 30,987 39,438 46,011 48,202 61,974 72,303

Collatz Trajectory (81 steps to reach 1)

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

3,036,726 1,518,363 4,555,090 2,277,545 6,832,636 3,416,318 1,708,159 5,124,478 2,562,239 7,686,718 3,843,359 11,530,078 5,765,039 17,295,118 8,647,559 25,942,678 12,971,339 38,914,018 19,457,009 58,371,028 29,185,514 14,592,757 43,778,272 21,889,136 10,944,568 5,472,284 2,736,142 1,368,071 4,104,214 2,052,107 6,156,322 3,078,161 9,234,484 4,617,242 2,308,621 6,925,864 3,462,932 1,731,466 865,733 2,597,200 1,298,600 649,300 324,650 162,325 486,976 243,488 121,744 60,872 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264

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