λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,749,740
57,749,740
22 × 5 × 19 × 83 × 1831
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 83 × 1831
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 129,265,920
Proper Divisor Sum 71,516,180
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57749723 ← → #57749743

Radix Representation

Decimal 57749740
Binary 11011100010011000011101100 (26 bits)
Octal 0o334230354
Hexadecimal 0x37130EC

Divisor Catalog (48)

1 2 4 5 10 19 20 38 76 83 95 166 190 332 380 415 830 1,577 1,660 1,831 3,154 3,662 6,308 7,324 7,885 9,155 15,770 18,310 31,540 34,789 36,620 69,578 139,156 151,973 173,945 303,946 347,890 607,892 695,780 759,865 1,519,730 2,887,487 3,039,460 5,774,974 11,549,948 14,437,435 28,874,870 57,749,740

Collatz Trajectory (132 steps to reach 1)

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

57,749,740 28,874,870 14,437,435 43,312,306 21,656,153 64,968,460 32,484,230 16,242,115 48,726,346 24,363,173 73,089,520 36,544,760 18,272,380 9,136,190 4,568,095 13,704,286 6,852,143 20,556,430 10,278,215 30,834,646 15,417,323 46,251,970 23,125,985 69,377,956 34,688,978 17,344,489 52,033,468 26,016,734 13,008,367 39,025,102 19,512,551 58,537,654 29,268,827 87,806,482 43,903,241 131,709,724 65,854,862 32,927,431 98,782,294 49,391,147 148,173,442 74,086,721 222,260,164 111,130,082 55,565,041 166,695,124 83,347,562 41,673,781 125,021,344 62,510,672 31,255,336 15,627,668 7,813,834 3,906,917 11,720,752 5,860,376 2,930,188 1,465,094 732,547 2,197,642

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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