λ
Ratio Atlas
Atlas › Integer Profiles › Node 75,596,235
75,596,235
3 × 5 × 11 × 132 × 2711
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13^2 × 2711
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 142,933,248
Proper Divisor Sum 67,337,013
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #75596207 ← → #75596237

Radix Representation

Decimal 75596235
Binary 100100000011000000111001011 (27 bits)
Octal 0o440300713
Hexadecimal 0x48181CB

Divisor Catalog (48)

1 3 5 11 13 15 33 39 55 65 143 165 169 195 429 507 715 845 1,859 2,145 2,535 2,711 5,577 8,133 9,295 13,555 27,885 29,821 35,243 40,665 89,463 105,729 149,105 176,215 387,673 447,315 458,159 528,645 1,163,019 1,374,477 1,938,365 2,290,795 5,039,749 5,815,095 6,872,385 15,119,247 25,198,745 75,596,235

Collatz Trajectory (303 steps to reach 1)

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

75,596,235 226,788,706 113,394,353 340,183,060 170,091,530 85,045,765 255,137,296 127,568,648 63,784,324 31,892,162 15,946,081 47,838,244 23,919,122 11,959,561 35,878,684 17,939,342 8,969,671 26,909,014 13,454,507 40,363,522 20,181,761 60,545,284 30,272,642 15,136,321 45,408,964 22,704,482 11,352,241 34,056,724 17,028,362 8,514,181 25,542,544 12,771,272 6,385,636 3,192,818 1,596,409 4,789,228 2,394,614 1,197,307 3,591,922 1,795,961 5,387,884 2,693,942 1,346,971 4,040,914 2,020,457 6,061,372 3,030,686 1,515,343 4,546,030 2,273,015 6,819,046 3,409,523 10,228,570 5,114,285 15,342,856 7,671,428 3,835,714 1,917,857 5,753,572 2,876,786

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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