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Atlas › Integer Profiles › Node 12,470,920

12,470,920

23 × 5 × 7 × 11 × 4049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 4049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 34,992,000
Proper Divisor Sum 22,521,080
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #12470917 ← → #12470971

Radix Representation

Decimal 12470920
Binary 101111100100101010001000 (24 bits)
Octal 0o57445210
Hexadecimal 0xBE4A88

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1,540 3,080 4,049 8,098 16,196 20,245 28,343 32,392 40,490 44,539 56,686 80,980 89,078 113,372 141,715 161,960 178,156 222,695 226,744 283,430 311,773 356,312 445,390 566,860 623,546 890,780 1,133,720 1,247,092 1,558,865 1,781,560

Collatz Trajectory (228 steps to reach 1)

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

12,470,920 6,235,460 3,117,730 1,558,865 4,676,596 2,338,298 1,169,149 3,507,448 1,753,724 876,862 438,431 1,315,294 657,647 1,972,942 986,471 2,959,414 1,479,707 4,439,122 2,219,561 6,658,684 3,329,342 1,664,671 4,994,014 2,497,007 7,491,022 3,745,511 11,236,534 5,618,267 16,854,802 8,427,401 25,282,204 12,641,102 6,320,551 18,961,654 9,480,827 28,442,482 14,221,241 42,663,724 21,331,862 10,665,931 31,997,794 15,998,897 47,996,692 23,998,346 11,999,173 35,997,520 17,998,760 8,999,380 4,499,690 2,249,845 6,749,536 3,374,768 1,687,384 843,692 421,846 210,923 632,770 316,385 949,156 474,578

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