λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,044,520
72,044,520
23 × 3 × 5 × 600371
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 600371
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 216,133,920
Proper Divisor Sum 144,089,400
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #72044507 ← → #72044551

Radix Representation

Decimal 72044520
Binary 100010010110100111111101000 (27 bits)
Octal 0o422647750
Hexadecimal 0x44B4FE8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 600,371 1,200,742 1,801,113 2,401,484 3,001,855 3,602,226 4,802,968 6,003,710 7,204,452 9,005,565 12,007,420 14,408,904 18,011,130 24,014,840 36,022,260 72,044,520

Collatz Trajectory (303 steps to reach 1)

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

72,044,520 36,022,260 18,011,130 9,005,565 27,016,696 13,508,348 6,754,174 3,377,087 10,131,262 5,065,631 15,196,894 7,598,447 22,795,342 11,397,671 34,193,014 17,096,507 51,289,522 25,644,761 76,934,284 38,467,142 19,233,571 57,700,714 28,850,357 86,551,072 43,275,536 21,637,768 10,818,884 5,409,442 2,704,721 8,114,164 4,057,082 2,028,541 6,085,624 3,042,812 1,521,406 760,703 2,282,110 1,141,055 3,423,166 1,711,583 5,134,750 2,567,375 7,702,126 3,851,063 11,553,190 5,776,595 17,329,786 8,664,893 25,994,680 12,997,340 6,498,670 3,249,335 9,748,006 4,874,003 14,622,010 7,311,005 21,933,016 10,966,508 5,483,254 2,741,627

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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