9,125,842

2 × 11 × 31 × 13381

For 9,125,842, the 16 positive divisors have a total of 15,416,064. Removing 9,125,842 leaves 6,290,222, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 13381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,416,064

Proper Divisor Sum 6,290,222

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9125819 ← → #9125863

Radix Representation

Decimal	9125842
Binary	100010110011111111010010 (24 bits)
Octal	0o42637722
Hexadecimal	0x8B3FD2

Divisor Catalog (16)

1 2 11 22 31 62 341 682 13,381 26,762 147,191 294,382 414,811 829,622 4,562,921 9,125,842

Collatz Trajectory (181 steps to reach 1)

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

9,125,842 4,562,921 13,688,764 6,844,382 3,422,191 10,266,574 5,133,287 15,399,862 7,699,931 23,099,794 11,549,897 34,649,692 17,324,846 8,662,423 25,987,270 12,993,635 38,980,906 19,490,453 58,471,360 29,235,680 14,617,840 7,308,920 3,654,460 1,827,230 913,615 2,740,846 1,370,423 4,111,270 2,055,635 6,166,906 3,083,453 9,250,360 4,625,180 2,312,590 1,156,295 3,468,886 1,734,443 5,203,330 2,601,665 7,804,996 3,902,498 1,951,249 5,853,748 2,926,874 1,463,437 4,390,312 2,195,156 1,097,578 548,789 1,646,368 823,184 411,592 205,796 102,898 51,449 154,348 77,174 38,587 115,762 57,881

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