λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,949,220
3,949,220
22 × 5 × 11 × 29 × 619
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 29 × 619
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,374,400
Proper Divisor Sum 5,425,180
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3949217 ← → #3949241

Radix Representation

Decimal 3949220
Binary 1111000100001010100100 (22 bits)
Octal 0o17041244
Hexadecimal 0x3C42A4

Divisor Catalog (48)

1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 619 638 1,238 1,276 1,595 2,476 3,095 3,190 6,190 6,380 6,809 12,380 13,618 17,951 27,236 34,045 35,902 68,090 71,804 89,755 136,180 179,510 197,461 359,020 394,922 789,844 987,305 1,974,610 3,949,220

Collatz Trajectory (185 steps to reach 1)

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

3,949,220 1,974,610 987,305 2,961,916 1,480,958 740,479 2,221,438 1,110,719 3,332,158 1,666,079 4,998,238 2,499,119 7,497,358 3,748,679 11,246,038 5,623,019 16,869,058 8,434,529 25,303,588 12,651,794 6,325,897 18,977,692 9,488,846 4,744,423 14,233,270 7,116,635 21,349,906 10,674,953 32,024,860 16,012,430 8,006,215 24,018,646 12,009,323 36,027,970 18,013,985 54,041,956 27,020,978 13,510,489 40,531,468 20,265,734 10,132,867 30,398,602 15,199,301 45,597,904 22,798,952 11,399,476 5,699,738 2,849,869 8,549,608 4,274,804 2,137,402 1,068,701 3,206,104 1,603,052 801,526 400,763 1,202,290 601,145 1,803,436 901,718

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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