λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,532,740
72,532,740
22 × 3 × 5 × 72 × 24671
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7^2 × 24671
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 236,259,072
Proper Divisor Sum 163,726,332
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #72532739 ← → #72532751

Radix Representation

Decimal 72532740
Binary 100010100101100001100000100 (27 bits)
Octal 0o424541404
Hexadecimal 0x452C304

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1,470 2,940 24,671 49,342 74,013 98,684 123,355 148,026 172,697 246,710 296,052 345,394 370,065 493,420 518,091 690,788 740,130 863,485 1,036,182 1,208,879 1,480,260 1,726,970 2,072,364 2,417,758 2,590,455 3,453,940

Collatz Trajectory (215 steps to reach 1)

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

72,532,740 36,266,370 18,133,185 54,399,556 27,199,778 13,599,889 40,799,668 20,399,834 10,199,917 30,599,752 15,299,876 7,649,938 3,824,969 11,474,908 5,737,454 2,868,727 8,606,182 4,303,091 12,909,274 6,454,637 19,363,912 9,681,956 4,840,978 2,420,489 7,261,468 3,630,734 1,815,367 5,446,102 2,723,051 8,169,154 4,084,577 12,253,732 6,126,866 3,063,433 9,190,300 4,595,150 2,297,575 6,892,726 3,446,363 10,339,090 5,169,545 15,508,636 7,754,318 3,877,159 11,631,478 5,815,739 17,447,218 8,723,609 26,170,828 13,085,414 6,542,707 19,628,122 9,814,061 29,442,184 14,721,092 7,360,546 3,680,273 11,040,820 5,520,410 2,760,205

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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