λ
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9,478,060

22 × 5 × 43 × 103 × 107
Abundant Even Composite

9,478,060 factors as 2^2 × 5 × 43 × 103 × 107. Its 48 positive divisors give a proper-divisor sum of 11,278,676, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 103 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,756,736
Proper Divisor Sum 11,278,676
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9478057 ← → #9478069

Radix Representation

Decimal 9478060
Binary 100100001001111110101100 (24 bits)
Octal 0o44117654
Hexadecimal 0x909FAC

Divisor Catalog (48)

1 2 4 5 10 20 43 86 103 107 172 206 214 215 412 428 430 515 535 860 1,030 1,070 2,060 2,140 4,429 4,601 8,858 9,202 11,021 17,716 18,404 22,042 22,145 23,005 44,084 44,290 46,010 55,105 88,580 92,020 110,210 220,420 473,903 947,806 1,895,612 2,369,515 4,739,030 9,478,060

Collatz Trajectory (194 steps to reach 1)

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

9,478,060 4,739,030 2,369,515 7,108,546 3,554,273 10,662,820 5,331,410 2,665,705 7,997,116 3,998,558 1,999,279 5,997,838 2,998,919 8,996,758 4,498,379 13,495,138 6,747,569 20,242,708 10,121,354 5,060,677 15,182,032 7,591,016 3,795,508 1,897,754 948,877 2,846,632 1,423,316 711,658 355,829 1,067,488 533,744 266,872 133,436 66,718 33,359 100,078 50,039 150,118 75,059 225,178 112,589 337,768 168,884 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670

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