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Atlas › Integer Profiles › Node 3,949,110

3,949,110

2 × 32 × 5 × 11 × 3989
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 3989
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,203,920
Proper Divisor Sum 7,254,810
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3949109 ← → #3949111

Radix Representation

Decimal 3949110
Binary 1111000100001000110110 (22 bits)
Octal 0o17041066
Hexadecimal 0x3C4236

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 3,989 7,978 11,967 19,945 23,934 35,901 39,890 43,879 59,835 71,802 87,758 119,670 131,637 179,505 219,395 263,274 359,010 394,911 438,790 658,185 789,822 1,316,370 1,974,555 3,949,110

Collatz Trajectory (198 steps to reach 1)

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

3,949,110 1,974,555 5,923,666 2,961,833 8,885,500 4,442,750 2,221,375 6,664,126 3,332,063 9,996,190 4,998,095 14,994,286 7,497,143 22,491,430 11,245,715 33,737,146 16,868,573 50,605,720 25,302,860 12,651,430 6,325,715 18,977,146 9,488,573 28,465,720 14,232,860 7,116,430 3,558,215 10,674,646 5,337,323 16,011,970 8,005,985 24,017,956 12,008,978 6,004,489 18,013,468 9,006,734 4,503,367 13,510,102 6,755,051 20,265,154 10,132,577 30,397,732 15,198,866 7,599,433 22,798,300 11,399,150 5,699,575 17,098,726 8,549,363 25,648,090 12,824,045 38,472,136 19,236,068 9,618,034 4,809,017 14,427,052 7,213,526 3,606,763 10,820,290 5,410,145

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