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Ratio Atlas
Atlas › Integer Profiles › Node 72,532,748
72,532,748
22 × 71 × 127 × 2011
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 71 × 127 × 2011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 129,798,144
Proper Divisor Sum 57,265,396
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #72532739 ← → #72532751

Radix Representation

Decimal 72532748
Binary 100010100101100001100001100 (27 bits)
Octal 0o424541414
Hexadecimal 0x452C30C

Divisor Catalog (24)

1 2 4 71 127 142 254 284 508 2,011 4,022 8,044 9,017 18,034 36,068 142,781 255,397 285,562 510,794 571,124 1,021,588 18,133,187 36,266,374 72,532,748

Collatz Trajectory (215 steps to reach 1)

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

72,532,748 36,266,374 18,133,187 54,399,562 27,199,781 81,599,344 40,799,672 20,399,836 10,199,918 5,099,959 15,299,878 7,649,939 22,949,818 11,474,909 34,424,728 17,212,364 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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