9,305,967

3 × 11 × 73 × 3863

9,305,967 factors as 3 × 11 × 73 × 3863. Its 16 positive divisors give a proper-divisor sum of 4,418,961, so this integer is deficient. The Collatz stopping time is 331 steps.

Prime Factor Structure

Factorization String 3 × 11 × 73 × 3863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,724,928

Proper Divisor Sum 4,418,961

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9305939 ← → #9305969

Radix Representation

Decimal	9305967
Binary	100011011111111101101111 (24 bits)
Octal	0o43377557
Hexadecimal	0x8DFF6F

Divisor Catalog (16)

1 3 11 33 73 219 803 2,409 3,863 11,589 42,493 127,479 281,999 845,997 3,101,989 9,305,967

Collatz Trajectory (331 steps to reach 1)

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

9,305,967 27,917,902 13,958,951 41,876,854 20,938,427 62,815,282 31,407,641 94,222,924 47,111,462 23,555,731 70,667,194 35,333,597 106,000,792 53,000,396 26,500,198 13,250,099 39,750,298 19,875,149 59,625,448 29,812,724 14,906,362 7,453,181 22,359,544 11,179,772 5,589,886 2,794,943 8,384,830 4,192,415 12,577,246 6,288,623 18,865,870 9,432,935 28,298,806 14,149,403 42,448,210 21,224,105 63,672,316 31,836,158 15,918,079 47,754,238 23,877,119 71,631,358 35,815,679 107,447,038 53,723,519 161,170,558 80,585,279 241,755,838 120,877,919 362,633,758 181,316,879 543,950,638 271,975,319 815,925,958 407,962,979 1,223,888,938 611,944,469 1,835,833,408 917,916,704 458,958,352

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