λ
Sigma Notebook

9,986,127

3 × 61 × 197 × 277
Deficient Odd Composite

9,986,127 is odd and not a perfect square. Its factorization is 3 × 61 × 197 × 277 and its 16 divisors sum to 13,650,912.

Prime Factor Structure

Factorization String 3 × 61 × 197 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,650,912
Proper Divisor Sum 3,664,785
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9986113 ← → #9986161

Radix Representation

Decimal 9986127
Binary 100110000110000001001111 (24 bits)
Octal 0o46060117
Hexadecimal 0x98604F

Divisor Catalog (16)

1 3 61 183 197 277 591 831 12,017 16,897 36,051 50,691 54,569 163,707 3,328,709 9,986,127

Collatz Trajectory (282 steps to reach 1)

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

9,986,127 29,958,382 14,979,191 44,937,574 22,468,787 67,406,362 33,703,181 101,109,544 50,554,772 25,277,386 12,638,693 37,916,080 18,958,040 9,479,020 4,739,510 2,369,755 7,109,266 3,554,633 10,663,900 5,331,950 2,665,975 7,997,926 3,998,963 11,996,890 5,998,445 17,995,336 8,997,668 4,498,834 2,249,417 6,748,252 3,374,126 1,687,063 5,061,190 2,530,595 7,591,786 3,795,893 11,387,680 5,693,840 2,846,920 1,423,460 711,730 355,865 1,067,596 533,798 266,899 800,698 400,349 1,201,048 600,524 300,262 150,131 450,394 225,197 675,592 337,796 168,898 84,449 253,348 126,674 63,337

More profiles

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