5,854,585

5 × 11² × 9677

5,854,585 factors as 5 × 11^2 × 9677. Its 12 positive divisors give a proper-divisor sum of 1,868,459, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 9677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,723,044

Proper Divisor Sum 1,868,459

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #5854577 ← → #5854601

Radix Representation

Decimal	5854585
Binary	10110010101010101111001 (23 bits)
Octal	0o26252571
Hexadecimal	0x595579

Divisor Catalog (12)

1 5 11 55 121 605 9,677 48,385 106,447 532,235 1,170,917 5,854,585

Collatz Trajectory (152 steps to reach 1)

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

5,854,585 17,563,756 8,781,878 4,390,939 13,172,818 6,586,409 19,759,228 9,879,614 4,939,807 14,819,422 7,409,711 22,229,134 11,114,567 33,343,702 16,671,851 50,015,554 25,007,777 75,023,332 37,511,666 18,755,833 56,267,500 28,133,750 14,066,875 42,200,626 21,100,313 63,300,940 31,650,470 15,825,235 47,475,706 23,737,853 71,213,560 35,606,780 17,803,390 8,901,695 26,705,086 13,352,543 40,057,630 20,028,815 60,086,446 30,043,223 90,129,670 45,064,835 135,194,506 67,597,253 202,791,760 101,395,880 50,697,940 25,348,970 12,674,485 38,023,456 19,011,728 9,505,864 4,752,932 2,376,466 1,188,233 3,564,700 1,782,350 891,175 2,673,526 1,336,763

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