λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,009,004
2,009,004
22 × 3 × 23 × 29 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 29 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,080,320
Proper Divisor Sum 3,071,316
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2008973 ← → #2009011

Radix Representation

Decimal 2009004
Binary 111101010011110101100 (21 bits)
Octal 0o7523654
Hexadecimal 0x1EA7AC

Divisor Catalog (48)

1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 251 276 348 502 667 753 1,004 1,334 1,506 2,001 2,668 3,012 4,002 5,773 7,279 8,004 11,546 14,558 17,319 21,837 23,092 29,116 34,638 43,674 69,276 87,348 167,417 334,834 502,251 669,668 1,004,502 2,009,004

Collatz Trajectory (153 steps to reach 1)

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

2,009,004 1,004,502 502,251 1,506,754 753,377 2,260,132 1,130,066 565,033 1,695,100 847,550 423,775 1,271,326 635,663 1,906,990 953,495 2,860,486 1,430,243 4,290,730 2,145,365 6,436,096 3,218,048 1,609,024 804,512 402,256 201,128 100,564 50,282 25,141 75,424 37,712 18,856 9,428 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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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