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Ratio Atlas
Atlas › Integer Profiles › Node 2,008,167
2,008,167
3 × 72 × 19 × 719
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,283,200
Proper Divisor Sum 1,275,033
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2008151 ← → #2008189

Radix Representation

Decimal 2008167
Binary 111101010010001100111 (21 bits)
Octal 0o7522147
Hexadecimal 0x1EA467

Divisor Catalog (24)

1 3 7 19 21 49 57 133 147 399 719 931 2,157 2,793 5,033 13,661 15,099 35,231 40,983 95,627 105,693 286,881 669,389 2,008,167

Collatz Trajectory (228 steps to reach 1)

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

2,008,167 6,024,502 3,012,251 9,036,754 4,518,377 13,555,132 6,777,566 3,388,783 10,166,350 5,083,175 15,249,526 7,624,763 22,874,290 11,437,145 34,311,436 17,155,718 8,577,859 25,733,578 12,866,789 38,600,368 19,300,184 9,650,092 4,825,046 2,412,523 7,237,570 3,618,785 10,856,356 5,428,178 2,714,089 8,142,268 4,071,134 2,035,567 6,106,702 3,053,351 9,160,054 4,580,027 13,740,082 6,870,041 20,610,124 10,305,062 5,152,531 15,457,594 7,728,797 23,186,392 11,593,196 5,796,598 2,898,299 8,694,898 4,347,449 13,042,348 6,521,174 3,260,587 9,781,762 4,890,881 14,672,644 7,336,322 3,668,161 11,004,484 5,502,242 2,751,121

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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