λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,724,140
7,724,140
22 × 5 × 127 × 3041
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 127 × 3041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,353,792
Proper Divisor Sum 8,629,652
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7724131 ← → #7724191

Radix Representation

Decimal 7724140
Binary 11101011101110001101100 (23 bits)
Octal 0o35356154
Hexadecimal 0x75DC6C

Divisor Catalog (24)

1 2 4 5 10 20 127 254 508 635 1,270 2,540 3,041 6,082 12,164 15,205 30,410 60,820 386,207 772,414 1,544,828 1,931,035 3,862,070 7,724,140

Collatz Trajectory (186 steps to reach 1)

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

7,724,140 3,862,070 1,931,035 5,793,106 2,896,553 8,689,660 4,344,830 2,172,415 6,517,246 3,258,623 9,775,870 4,887,935 14,663,806 7,331,903 21,995,710 10,997,855 32,993,566 16,496,783 49,490,350 24,745,175 74,235,526 37,117,763 111,353,290 55,676,645 167,029,936 83,514,968 41,757,484 20,878,742 10,439,371 31,318,114 15,659,057 46,977,172 23,488,586 11,744,293 35,232,880 17,616,440 8,808,220 4,404,110 2,202,055 6,606,166 3,303,083 9,909,250 4,954,625 14,863,876 7,431,938 3,715,969 11,147,908 5,573,954 2,786,977 8,360,932 4,180,466 2,090,233 6,270,700 3,135,350 1,567,675 4,703,026 2,351,513 7,054,540 3,527,270 1,763,635

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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