λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,088,392
72,088,392
23 × 3 × 31 × 96893
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 96893
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 186,036,480
Proper Divisor Sum 113,948,088
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #72088391 ← → #72088421

Radix Representation

Decimal 72088392
Binary 100010010111111101101001000 (27 bits)
Octal 0o422775510
Hexadecimal 0x44BFB48

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 96,893 193,786 290,679 387,572 581,358 775,144 1,162,716 2,325,432 3,003,683 6,007,366 9,011,049 12,014,732 18,022,098 24,029,464 36,044,196 72,088,392

Collatz Trajectory (303 steps to reach 1)

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

72,088,392 36,044,196 18,022,098 9,011,049 27,033,148 13,516,574 6,758,287 20,274,862 10,137,431 30,412,294 15,206,147 45,618,442 22,809,221 68,427,664 34,213,832 17,106,916 8,553,458 4,276,729 12,830,188 6,415,094 3,207,547 9,622,642 4,811,321 14,433,964 7,216,982 3,608,491 10,825,474 5,412,737 16,238,212 8,119,106 4,059,553 12,178,660 6,089,330 3,044,665 9,133,996 4,566,998 2,283,499 6,850,498 3,425,249 10,275,748 5,137,874 2,568,937 7,706,812 3,853,406 1,926,703 5,780,110 2,890,055 8,670,166 4,335,083 13,005,250 6,502,625 19,507,876 9,753,938 4,876,969 14,630,908 7,315,454 3,657,727 10,973,182 5,486,591 16,459,774

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #72,088,391 Browse Full Index Next Integer #72,088,393 →