λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,046,040
20,046,040
23 × 5 × 7 × 71593
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 71593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,547,680
Proper Divisor Sum 31,501,640
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20046011 ← → #20046053

Radix Representation

Decimal 20046040
Binary 1001100011110000011011000 (25 bits)
Octal 0o114360330
Hexadecimal 0x131E0D8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 71,593 143,186 286,372 357,965 501,151 572,744 715,930 1,002,302 1,431,860 2,004,604 2,505,755 2,863,720 4,009,208 5,011,510 10,023,020 20,046,040

Collatz Trajectory (190 steps to reach 1)

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

20,046,040 10,023,020 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299 32,109,898 16,054,949 48,164,848 24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455 13,546,366 6,773,183 20,319,550 10,159,775 30,479,326 15,239,663 45,718,990 22,859,495 68,578,486 34,289,243 102,867,730 51,433,865 154,301,596 77,150,798 38,575,399 115,726,198 57,863,099 173,589,298 86,794,649 260,383,948 130,191,974 65,095,987 195,287,962 97,643,981 292,931,944 146,465,972 73,232,986 36,616,493 109,849,480 54,924,740 27,462,370

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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