λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,997,615
8,997,615
33 × 5 × 11 × 73 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 73 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,902,080
Proper Divisor Sum 8,904,465
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8997613 ← → #8997647

Radix Representation

Decimal 8997615
Binary 100010010100101011101111 (24 bits)
Octal 0o42245357
Hexadecimal 0x894AEF

Divisor Catalog (60 of 64)

1 3 5 9 11 15 27 33 45 55 73 83 99 135 165 219 249 297 365 415 495 657 747 803 913 1,095 1,245 1,485 1,971 2,241 2,409 2,739 3,285 3,735 4,015 4,565 6,059 7,227 8,217 9,855 11,205 12,045 13,695 18,177 21,681 24,651 30,295 36,135 41,085 54,531 66,649 90,885 108,405 123,255 163,593 199,947 272,655 333,245 599,841 817,965

Collatz Trajectory (256 steps to reach 1)

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

8,997,615 26,992,846 13,496,423 40,489,270 20,244,635 60,733,906 30,366,953 91,100,860 45,550,430 22,775,215 68,325,646 34,162,823 102,488,470 51,244,235 153,732,706 76,866,353 230,599,060 115,299,530 57,649,765 172,949,296 86,474,648 43,237,324 21,618,662 10,809,331 32,427,994 16,213,997 48,641,992 24,320,996 12,160,498 6,080,249 18,240,748 9,120,374 4,560,187 13,680,562 6,840,281 20,520,844 10,260,422 5,130,211 15,390,634 7,695,317 23,085,952 11,542,976 5,771,488 2,885,744 1,442,872 721,436 360,718 180,359 541,078 270,539 811,618 405,809 1,217,428 608,714 304,357 913,072 456,536 228,268 114,134 57,067

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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