λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,491,375
4,491,375
3 × 53 × 7 × 29 × 59
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 29 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,985,600
Proper Divisor Sum 4,494,225
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4491359 ← → #4491401

Radix Representation

Decimal 4491375
Binary 10001001000100001101111 (23 bits)
Octal 0o21104157
Hexadecimal 0x44886F

Divisor Catalog (60 of 64)

1 3 5 7 15 21 25 29 35 59 75 87 105 125 145 175 177 203 295 375 413 435 525 609 725 875 885 1,015 1,239 1,475 1,711 2,065 2,175 2,625 3,045 3,625 4,425 5,075 5,133 6,195 7,375 8,555 10,325 10,875 11,977 15,225 22,125 25,375 25,665 30,975 35,931 42,775 51,625 59,885 76,125 128,325 154,875 179,655 213,875 299,425

Collatz Trajectory (136 steps to reach 1)

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

4,491,375 13,474,126 6,737,063 20,211,190 10,105,595 30,316,786 15,158,393 45,475,180 22,737,590 11,368,795 34,106,386 17,053,193 51,159,580 25,579,790 12,789,895 38,369,686 19,184,843 57,554,530 28,777,265 86,331,796 43,165,898 21,582,949 64,748,848 32,374,424 16,187,212 8,093,606 4,046,803 12,140,410 6,070,205 18,210,616 9,105,308 4,552,654 2,276,327 6,828,982 3,414,491 10,243,474 5,121,737 15,365,212 7,682,606 3,841,303 11,523,910 5,761,955 17,285,866 8,642,933 25,928,800 12,964,400 6,482,200 3,241,100 1,620,550 810,275 2,430,826 1,215,413 3,646,240 1,823,120 911,560 455,780 227,890 113,945 341,836 170,918

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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