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Atlas › Integer Profiles › Node 12,374,802

12,374,802

2 × 33 × 11 × 83 × 251
Abundant Even Composite

12,374,802 factors as 2 × 3^3 × 11 × 83 × 251. Its 64 positive divisors give a proper-divisor sum of 18,107,118, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 83 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,481,920
Proper Divisor Sum 18,107,118
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12374783 ← → #12374809

Radix Representation

Decimal 12374802
Binary 101111001101001100010010 (24 bits)
Octal 0o57151422
Hexadecimal 0xBCD312

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 27 33 54 66 83 99 166 198 249 251 297 498 502 594 747 753 913 1,494 1,506 1,826 2,241 2,259 2,739 2,761 4,482 4,518 5,478 5,522 6,777 8,217 8,283 13,554 16,434 16,566 20,833 24,651 24,849 41,666 49,302 49,698 62,499 74,547 124,998 149,094 187,497 229,163 374,994 458,326 562,491 687,489 1,124,982 1,374,978

Collatz Trajectory (153 steps to reach 1)

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

12,374,802 6,187,401 18,562,204 9,281,102 4,640,551 13,921,654 6,960,827 20,882,482 10,441,241 31,323,724 15,661,862 7,830,931 23,492,794 11,746,397 35,239,192 17,619,596 8,809,798 4,404,899 13,214,698 6,607,349 19,822,048 9,911,024 4,955,512 2,477,756 1,238,878 619,439 1,858,318 929,159 2,787,478 1,393,739 4,181,218 2,090,609 6,271,828 3,135,914 1,567,957 4,703,872 2,351,936 1,175,968 587,984 293,992 146,996 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364

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