λ
Ratio Atlas
Atlas › Integer Profiles › Node 807,003
807,003
39 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^9 × 41
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,240,008
Proper Divisor Sum 433,005
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #806999 ← → #807011

Radix Representation

Decimal 807003
Binary 11000101000001011011 (20 bits)
Octal 0o3050133
Hexadecimal 0xC505B

Divisor Catalog (20)

1 3 9 27 41 81 123 243 369 729 1,107 2,187 3,321 6,561 9,963 19,683 29,889 89,667 269,001 807,003

Collatz Trajectory (224 steps to reach 1)

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

807,003 2,421,010 1,210,505 3,631,516 1,815,758 907,879 2,723,638 1,361,819 4,085,458 2,042,729 6,128,188 3,064,094 1,532,047 4,596,142 2,298,071 6,894,214 3,447,107 10,341,322 5,170,661 15,511,984 7,755,992 3,877,996 1,938,998 969,499 2,908,498 1,454,249 4,362,748 2,181,374 1,090,687 3,272,062 1,636,031 4,908,094 2,454,047 7,362,142 3,681,071 11,043,214 5,521,607 16,564,822 8,282,411 24,847,234 12,423,617 37,270,852 18,635,426 9,317,713 27,953,140 13,976,570 6,988,285 20,964,856 10,482,428 5,241,214 2,620,607 7,861,822 3,930,911 11,792,734 5,896,367 17,689,102 8,844,551 26,533,654 13,266,827 39,800,482

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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