λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,067,775
8,067,775
52 × 17 × 41 × 463
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 17 × 41 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,874,304
Proper Divisor Sum 2,806,529
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8067769 ← → #8067803

Radix Representation

Decimal 8067775
Binary 11110110001101010111111 (23 bits)
Octal 0o36615277
Hexadecimal 0x7B1ABF

Divisor Catalog (24)

1 5 17 25 41 85 205 425 463 697 1,025 2,315 3,485 7,871 11,575 17,425 18,983 39,355 94,915 196,775 322,711 474,575 1,613,555 8,067,775

Collatz Trajectory (199 steps to reach 1)

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

8,067,775 24,203,326 12,101,663 36,304,990 18,152,495 54,457,486 27,228,743 81,686,230 40,843,115 122,529,346 61,264,673 183,794,020 91,897,010 45,948,505 137,845,516 68,922,758 34,461,379 103,384,138 51,692,069 155,076,208 77,538,104 38,769,052 19,384,526 9,692,263 29,076,790 14,538,395 43,615,186 21,807,593 65,422,780 32,711,390 16,355,695 49,067,086 24,533,543 73,600,630 36,800,315 110,400,946 55,200,473 165,601,420 82,800,710 41,400,355 124,201,066 62,100,533 186,301,600 93,150,800 46,575,400 23,287,700 11,643,850 5,821,925 17,465,776 8,732,888 4,366,444 2,183,222 1,091,611 3,274,834 1,637,417 4,912,252 2,456,126 1,228,063 3,684,190 1,842,095

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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