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Ratio Atlas
Atlas › Integer Profiles › Node 2,155,167
2,155,167
35 × 72 × 181
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7^2 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,776,136
Proper Divisor Sum 1,620,969
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2155163 ← → #2155171

Radix Representation

Decimal 2155167
Binary 1000001110001010011111 (22 bits)
Octal 0o10161237
Hexadecimal 0x20E29F

Divisor Catalog (36)

1 3 7 9 21 27 49 63 81 147 181 189 243 441 543 567 1,267 1,323 1,629 1,701 3,801 3,969 4,887 8,869 11,403 11,907 14,661 26,607 34,209 43,983 79,821 102,627 239,463 307,881 718,389 2,155,167

Collatz Trajectory (179 steps to reach 1)

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

2,155,167 6,465,502 3,232,751 9,698,254 4,849,127 14,547,382 7,273,691 21,821,074 10,910,537 32,731,612 16,365,806 8,182,903 24,548,710 12,274,355 36,823,066 18,411,533 55,234,600 27,617,300 13,808,650 6,904,325 20,712,976 10,356,488 5,178,244 2,589,122 1,294,561 3,883,684 1,941,842 970,921 2,912,764 1,456,382 728,191 2,184,574 1,092,287 3,276,862 1,638,431 4,915,294 2,457,647 7,372,942 3,686,471 11,059,414 5,529,707 16,589,122 8,294,561 24,883,684 12,441,842 6,220,921 18,662,764 9,331,382 4,665,691 13,997,074 6,998,537 20,995,612 10,497,806 5,248,903 15,746,710 7,873,355 23,620,066 11,810,033 35,430,100 17,715,050

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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