9,920,007

3² × 193 × 5711

9,920,007 factors as 3^2 × 193 × 5711. Its 12 positive divisors give a proper-divisor sum of 4,485,657, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 193 × 5711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,405,664

Proper Divisor Sum 4,485,657

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9919997 ← → #9920021

Radix Representation

Decimal	9920007
Binary	100101110101111000000111 (24 bits)
Octal	0o45657007
Hexadecimal	0x975E07

Divisor Catalog (12)

1 3 9 193 579 1,737 5,711 17,133 51,399 1,102,223 3,306,669 9,920,007

Collatz Trajectory (207 steps to reach 1)

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

9,920,007 29,760,022 14,880,011 44,640,034 22,320,017 66,960,052 33,480,026 16,740,013 50,220,040 25,110,020 12,555,010 6,277,505 18,832,516 9,416,258 4,708,129 14,124,388 7,062,194 3,531,097 10,593,292 5,296,646 2,648,323 7,944,970 3,972,485 11,917,456 5,958,728 2,979,364 1,489,682 744,841 2,234,524 1,117,262 558,631 1,675,894 837,947 2,513,842 1,256,921 3,770,764 1,885,382 942,691 2,828,074 1,414,037 4,242,112 2,121,056 1,060,528 530,264 265,132 132,566 66,283 198,850 99,425 298,276 149,138 74,569 223,708 111,854 55,927 167,782 83,891 251,674 125,837 377,512

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