1,085,991

3 × 23 × 15739

For 1,085,991, the 8 positive divisors have a total of 1,511,040. Removing 1,085,991 leaves 425,049, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 23 × 15739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,511,040

Proper Divisor Sum 425,049

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1085989 ← → #1086031

Radix Representation

Decimal	1085991
Binary	100001001001000100111 (21 bits)
Octal	0o4111047
Hexadecimal	0x109227

Divisor Catalog (8)

1 3 23 69 15,739 47,217 361,997 1,085,991

Collatz Trajectory (116 steps to reach 1)

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

1,085,991 3,257,974 1,628,987 4,886,962 2,443,481 7,330,444 3,665,222 1,832,611 5,497,834 2,748,917 8,246,752 4,123,376 2,061,688 1,030,844 515,422 257,711 773,134 386,567 1,159,702 579,851 1,739,554 869,777 2,609,332 1,304,666 652,333 1,957,000 978,500 489,250 244,625 733,876 366,938 183,469 550,408 275,204 137,602 68,801 206,404 103,202 51,601 154,804 77,402 38,701 116,104 58,052 29,026 14,513 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892

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