λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,493,775
4,493,775
3 × 52 × 11 × 13 × 419
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 13 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,749,440
Proper Divisor Sum 4,255,665
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4493773 ← → #4493777

Radix Representation

Decimal 4493775
Binary 10001001001000111001111 (23 bits)
Octal 0o21110717
Hexadecimal 0x4491CF

Divisor Catalog (48)

1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 419 429 715 825 975 1,257 2,095 2,145 3,575 4,609 5,447 6,285 10,475 10,725 13,827 16,341 23,045 27,235 31,425 59,917 69,135 81,705 115,225 136,175 179,751 299,585 345,675 408,525 898,755 1,497,925 4,493,775

Collatz Trajectory (242 steps to reach 1)

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

4,493,775 13,481,326 6,740,663 20,221,990 10,110,995 30,332,986 15,166,493 45,499,480 22,749,740 11,374,870 5,687,435 17,062,306 8,531,153 25,593,460 12,796,730 6,398,365 19,195,096 9,597,548 4,798,774 2,399,387 7,198,162 3,599,081 10,797,244 5,398,622 2,699,311 8,097,934 4,048,967 12,146,902 6,073,451 18,220,354 9,110,177 27,330,532 13,665,266 6,832,633 20,497,900 10,248,950 5,124,475 15,373,426 7,686,713 23,060,140 11,530,070 5,765,035 17,295,106 8,647,553 25,942,660 12,971,330 6,485,665 19,456,996 9,728,498 4,864,249 14,592,748 7,296,374 3,648,187 10,944,562 5,472,281 16,416,844 8,208,422 4,104,211 12,312,634 6,156,317

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
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