λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,139,270
2,139,270
2 × 3 × 5 × 7 × 61 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 61 × 167
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,999,616
Proper Divisor Sum 3,860,346
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2139233 ← → #2139283

Radix Representation

Decimal 2139270
Binary 1000001010010010000110 (22 bits)
Octal 0o10122206
Hexadecimal 0x20A486

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 167 183 210 305 334 366 427 501 610 835 854 915 1,002 1,169 1,281 1,670 1,830 2,135 2,338 2,505 2,562 3,507 4,270 5,010 5,845 6,405 7,014 10,187 11,690 12,810 17,535 20,374 30,561 35,070 50,935 61,122 71,309 101,870 142,618 152,805 213,927 305,610 356,545

Collatz Trajectory (122 steps to reach 1)

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

2,139,270 1,069,635 3,208,906 1,604,453 4,813,360 2,406,680 1,203,340 601,670 300,835 902,506 451,253 1,353,760 676,880 338,440 169,220 84,610 42,305 126,916 63,458 31,729 95,188 47,594 23,797 71,392 35,696 17,848 8,924 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588

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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