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Atlas › Integer Profiles › Node 12,440,934

12,440,934

2 × 32 × 11 × 19 × 3307
Abundant Even Composite

12,440,934 factors as 2 × 3^2 × 11 × 19 × 3307. Its 48 positive divisors give a proper-divisor sum of 18,521,946, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 19 × 3307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,962,880
Proper Divisor Sum 18,521,946
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12440921 ← → #12440969

Radix Representation

Decimal 12440934
Binary 101111011101010101100110 (24 bits)
Octal 0o57352546
Hexadecimal 0xBDD566

Divisor Catalog (48)

1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1,254 1,881 3,307 3,762 6,614 9,921 19,842 29,763 36,377 59,526 62,833 72,754 109,131 125,666 188,499 218,262 327,393 376,998 565,497 654,786 691,163 1,130,994 1,382,326 2,073,489 4,146,978 6,220,467 12,440,934

Collatz Trajectory (78 steps to reach 1)

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

12,440,934 6,220,467 18,661,402 9,330,701 27,992,104 13,996,052 6,998,026 3,499,013 10,497,040 5,248,520 2,624,260 1,312,130 656,065 1,968,196 984,098 492,049 1,476,148 738,074 369,037 1,107,112 553,556 276,778 138,389 415,168 207,584 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368

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