9,982,023

3 × 23 × 144667

Starting at 9,982,023, the Collatz iteration reaches 1 after 137 steps. The first transition is 29946070; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 144667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,888,128

Proper Divisor Sum 3,906,105

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9981943 ← → #9982051

Radix Representation

Decimal	9982023
Binary	100110000101000001000111 (24 bits)
Octal	0o46050107
Hexadecimal	0x985047

Divisor Catalog (8)

1 3 23 69 144,667 434,001 3,327,341 9,982,023

Collatz Trajectory (137 steps to reach 1)

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

9,982,023 29,946,070 14,973,035 44,919,106 22,459,553 67,378,660 33,689,330 16,844,665 50,533,996 25,266,998 12,633,499 37,900,498 18,950,249 56,850,748 28,425,374 14,212,687 42,638,062 21,319,031 63,957,094 31,978,547 95,935,642 47,967,821 143,903,464 71,951,732 35,975,866 17,987,933 53,963,800 26,981,900 13,490,950 6,745,475 20,236,426 10,118,213 30,354,640 15,177,320 7,588,660 3,794,330 1,897,165 5,691,496 2,845,748 1,422,874 711,437 2,134,312 1,067,156 533,578 266,789 800,368 400,184 200,092 100,046 50,023 150,070 75,035 225,106 112,553 337,660 168,830 84,415 253,246 126,623 379,870

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