9,982,711

37 × 61 × 4423

Starting at 9,982,711, the Collatz iteration reaches 1 after 137 steps. The first transition is 29948134; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 61 × 4423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,422,944

Proper Divisor Sum 440,233

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9982703 ← → #9982729

Radix Representation

Decimal	9982711
Binary	100110000101001011110111 (24 bits)
Octal	0o46051367
Hexadecimal	0x9852F7

Divisor Catalog (8)

1 37 61 2,257 4,423 163,651 269,803 9,982,711

Collatz Trajectory (137 steps to reach 1)

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

9,982,711 29,948,134 14,974,067 44,922,202 22,461,101 67,383,304 33,691,652 16,845,826 8,422,913 25,268,740 12,634,370 6,317,185 18,951,556 9,475,778 4,737,889 14,213,668 7,106,834 3,553,417 10,660,252 5,330,126 2,665,063 7,995,190 3,997,595 11,992,786 5,996,393 17,989,180 8,994,590 4,497,295 13,491,886 6,745,943 20,237,830 10,118,915 30,356,746 15,178,373 45,535,120 22,767,560 11,383,780 5,691,890 2,845,945 8,537,836 4,268,918 2,134,459 6,403,378 3,201,689 9,605,068 4,802,534 2,401,267 7,203,802 3,601,901 10,805,704 5,402,852 2,701,426 1,350,713 4,052,140 2,026,070 1,013,035 3,039,106 1,519,553 4,558,660 2,279,330

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