λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,440,950
7,440,950
2 × 52 × 11 × 83 × 163
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 83 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,374,016
Proper Divisor Sum 7,933,066
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7440947 ← → #7440997

Radix Representation

Decimal 7440950
Binary 11100011000101000110110 (23 bits)
Octal 0o34305066
Hexadecimal 0x718A36

Divisor Catalog (48)

1 2 5 10 11 22 25 50 55 83 110 163 166 275 326 415 550 815 830 913 1,630 1,793 1,826 2,075 3,586 4,075 4,150 4,565 8,150 8,965 9,130 13,529 17,930 22,825 27,058 44,825 45,650 67,645 89,650 135,290 148,819 297,638 338,225 676,450 744,095 1,488,190 3,720,475 7,440,950

Collatz Trajectory (204 steps to reach 1)

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

7,440,950 3,720,475 11,161,426 5,580,713 16,742,140 8,371,070 4,185,535 12,556,606 6,278,303 18,834,910 9,417,455 28,252,366 14,126,183 42,378,550 21,189,275 63,567,826 31,783,913 95,351,740 47,675,870 23,837,935 71,513,806 35,756,903 107,270,710 53,635,355 160,906,066 80,453,033 241,359,100 120,679,550 60,339,775 181,019,326 90,509,663 271,528,990 135,764,495 407,293,486 203,646,743 610,940,230 305,470,115 916,410,346 458,205,173 1,374,615,520 687,307,760 343,653,880 171,826,940 85,913,470 42,956,735 128,870,206 64,435,103 193,305,310 96,652,655 289,957,966 144,978,983 434,936,950 217,468,475 652,405,426 326,202,713 978,608,140 489,304,070 244,652,035 733,956,106 366,978,053

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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