Integer 1,001,007 Profile | Ratio Atlas

1,001,007

3² × 7 × 15889

Prime Factor Structure

Factorization String 3^2 × 7 × 15889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,652,560

Proper Divisor Sum 651,553

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1001003 ← → #1001017

Radix Representation

Decimal	1001007
Binary	11110100011000101111 (20 bits)
Octal	0o3643057
Hexadecimal	0xF462F

Divisor Catalog (12)

1 3 7 9 21 63 15,889 47,667 111,223 143,001 333,669 1,001,007

Collatz Trajectory (258 steps to reach 1)

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

1,001,007 3,003,022 1,501,511 4,504,534 2,252,267 6,756,802 3,378,401 10,135,204 5,067,602 2,533,801 7,601,404 3,800,702 1,900,351 5,701,054 2,850,527 8,551,582 4,275,791 12,827,374 6,413,687 19,241,062 9,620,531 28,861,594 14,430,797 43,292,392 21,646,196 10,823,098 5,411,549 16,234,648 8,117,324 4,058,662 2,029,331 6,087,994 3,043,997 9,131,992 4,565,996 2,282,998 1,141,499 3,424,498 1,712,249 5,136,748 2,568,374 1,284,187 3,852,562 1,926,281 5,778,844 2,889,422 1,444,711 4,334,134 2,167,067 6,501,202 3,250,601 9,751,804 4,875,902 2,437,951 7,313,854 3,656,927 10,970,782 5,485,391 16,456,174 8,228,087

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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