λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,727,324
2,727,324
22 × 33 × 25253
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 25253
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,071,120
Proper Divisor Sum 4,343,796
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2727313 ← → #2727331

Radix Representation

Decimal 2727324
Binary 1010011001110110011100 (22 bits)
Octal 0o12316634
Hexadecimal 0x299D9C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 25,253 50,506 75,759 101,012 151,518 227,277 303,036 454,554 681,831 909,108 1,363,662 2,727,324

Collatz Trajectory (218 steps to reach 1)

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

2,727,324 1,363,662 681,831 2,045,494 1,022,747 3,068,242 1,534,121 4,602,364 2,301,182 1,150,591 3,451,774 1,725,887 5,177,662 2,588,831 7,766,494 3,883,247 11,649,742 5,824,871 17,474,614 8,737,307 26,211,922 13,105,961 39,317,884 19,658,942 9,829,471 29,488,414 14,744,207 44,232,622 22,116,311 66,348,934 33,174,467 99,523,402 49,761,701 149,285,104 74,642,552 37,321,276 18,660,638 9,330,319 27,990,958 13,995,479 41,986,438 20,993,219 62,979,658 31,489,829 94,469,488 47,234,744 23,617,372 11,808,686 5,904,343 17,713,030 8,856,515 26,569,546 13,284,773 39,854,320 19,927,160 9,963,580 4,981,790 2,490,895 7,472,686 3,736,343

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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