λ
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9,902,860

22 × 5 × 11 × 45013
Abundant Even Composite

9,902,860 factors as 2^2 × 5 × 11 × 45013. Its 24 positive divisors give a proper-divisor sum of 12,784,196, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 45013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,687,056
Proper Divisor Sum 12,784,196
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9902839 ← → #9902861

Radix Representation

Decimal 9902860
Binary 100101110001101100001100 (24 bits)
Octal 0o45615414
Hexadecimal 0x971B0C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 45,013 90,026 180,052 225,065 450,130 495,143 900,260 990,286 1,980,572 2,475,715 4,951,430 9,902,860

Collatz Trajectory (145 steps to reach 1)

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

9,902,860 4,951,430 2,475,715 7,427,146 3,713,573 11,140,720 5,570,360 2,785,180 1,392,590 696,295 2,088,886 1,044,443 3,133,330 1,566,665 4,699,996 2,349,998 1,174,999 3,524,998 1,762,499 5,287,498 2,643,749 7,931,248 3,965,624 1,982,812 991,406 495,703 1,487,110 743,555 2,230,666 1,115,333 3,346,000 1,673,000 836,500 418,250 209,125 627,376 313,688 156,844 78,422 39,211 117,634 58,817 176,452 88,226 44,113 132,340 66,170 33,085 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469

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