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Ratio Atlas
Atlas › Integer Profiles › Node 72,079,353
72,079,353
32 × 41 × 229 × 853
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 41 × 229 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 107,245,320
Proper Divisor Sum 35,165,967
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #72079339 ← → #72079361

Radix Representation

Decimal 72079353
Binary 100010010111101011111111001 (27 bits)
Octal 0o422753771
Hexadecimal 0x44BD7F9

Divisor Catalog (24)

1 3 9 41 123 229 369 687 853 2,061 2,559 7,677 9,389 28,167 34,973 84,501 104,919 195,337 314,757 586,011 1,758,033 8,008,817 24,026,451 72,079,353

Collatz Trajectory (246 steps to reach 1)

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

72,079,353 216,238,060 108,119,030 54,059,515 162,178,546 81,089,273 243,267,820 121,633,910 60,816,955 182,450,866 91,225,433 273,676,300 136,838,150 68,419,075 205,257,226 102,628,613 307,885,840 153,942,920 76,971,460 38,485,730 19,242,865 57,728,596 28,864,298 14,432,149 43,296,448 21,648,224 10,824,112 5,412,056 2,706,028 1,353,014 676,507 2,029,522 1,014,761 3,044,284 1,522,142 761,071 2,283,214 1,141,607 3,424,822 1,712,411 5,137,234 2,568,617 7,705,852 3,852,926 1,926,463 5,779,390 2,889,695 8,669,086 4,334,543 13,003,630 6,501,815 19,505,446 9,752,723 29,258,170 14,629,085 43,887,256 21,943,628 10,971,814 5,485,907 16,457,722

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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