λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,720,114
57,720,114
2 × 34 × 283 × 1259
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 283 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 129,895,920
Proper Divisor Sum 72,175,806
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #57720101 ← → #57720163

Radix Representation

Decimal 57720114
Binary 11011100001011110100110010 (26 bits)
Octal 0o334136462
Hexadecimal 0x370BD32

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 283 566 849 1,259 1,698 2,518 2,547 3,777 5,094 7,554 7,641 11,331 15,282 22,662 22,923 33,993 45,846 67,986 101,979 203,958 356,297 712,594 1,068,891 2,137,782 3,206,673 6,413,346 9,620,019 19,240,038 28,860,057 57,720,114

Collatz Trajectory (145 steps to reach 1)

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

57,720,114 28,860,057 86,580,172 43,290,086 21,645,043 64,935,130 32,467,565 97,402,696 48,701,348 24,350,674 12,175,337 36,526,012 18,263,006 9,131,503 27,394,510 13,697,255 41,091,766 20,545,883 61,637,650 30,818,825 92,456,476 46,228,238 23,114,119 69,342,358 34,671,179 104,013,538 52,006,769 156,020,308 78,010,154 39,005,077 117,015,232 58,507,616 29,253,808 14,626,904 7,313,452 3,656,726 1,828,363 5,485,090 2,742,545 8,227,636 4,113,818 2,056,909 6,170,728 3,085,364 1,542,682 771,341 2,314,024 1,157,012 578,506 289,253 867,760 433,880 216,940 108,470 54,235 162,706 81,353 244,060 122,030 61,015

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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