λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,892,009
8,892,009
32 × 7 × 29 × 31 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 29 × 31 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,774,720
Proper Divisor Sum 6,882,711
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8892001 ← → #8892011

Radix Representation

Decimal 8892009
Binary 100001111010111001101001 (24 bits)
Octal 0o41727151
Hexadecimal 0x87AE69

Divisor Catalog (48)

1 3 7 9 21 29 31 63 87 93 157 203 217 261 279 471 609 651 899 1,099 1,413 1,827 1,953 2,697 3,297 4,553 4,867 6,293 8,091 9,891 13,659 14,601 18,879 31,871 34,069 40,977 43,803 56,637 95,613 102,207 141,143 286,839 306,621 423,429 988,001 1,270,287 2,964,003 8,892,009

Collatz Trajectory (362 steps to reach 1)

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

8,892,009 26,676,028 13,338,014 6,669,007 20,007,022 10,003,511 30,010,534 15,005,267 45,015,802 22,507,901 67,523,704 33,761,852 16,880,926 8,440,463 25,321,390 12,660,695 37,982,086 18,991,043 56,973,130 28,486,565 85,459,696 42,729,848 21,364,924 10,682,462 5,341,231 16,023,694 8,011,847 24,035,542 12,017,771 36,053,314 18,026,657 54,079,972 27,039,986 13,519,993 40,559,980 20,279,990 10,139,995 30,419,986 15,209,993 45,629,980 22,814,990 11,407,495 34,222,486 17,111,243 51,333,730 25,666,865 77,000,596 38,500,298 19,250,149 57,750,448 28,875,224 14,437,612 7,218,806 3,609,403 10,828,210 5,414,105 16,242,316 8,121,158 4,060,579 12,181,738

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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