λ
Ratio Atlas
Atlas › Integer Profiles › Node 807,807
807,807
3 × 7 × 11 × 13 × 269
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,451,520
Proper Divisor Sum 643,713
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #807797 ← → #807809

Radix Representation

Decimal 807807
Binary 11000101001101111111 (20 bits)
Octal 0o3051577
Hexadecimal 0xC537F

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 269 273 429 807 1,001 1,883 2,959 3,003 3,497 5,649 8,877 10,491 20,713 24,479 38,467 62,139 73,437 115,401 269,269 807,807

Collatz Trajectory (206 steps to reach 1)

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

807,807 2,423,422 1,211,711 3,635,134 1,817,567 5,452,702 2,726,351 8,179,054 4,089,527 12,268,582 6,134,291 18,402,874 9,201,437 27,604,312 13,802,156 6,901,078 3,450,539 10,351,618 5,175,809 15,527,428 7,763,714 3,881,857 11,645,572 5,822,786 2,911,393 8,734,180 4,367,090 2,183,545 6,550,636 3,275,318 1,637,659 4,912,978 2,456,489 7,369,468 3,684,734 1,842,367 5,527,102 2,763,551 8,290,654 4,145,327 12,435,982 6,217,991 18,653,974 9,326,987 27,980,962 13,990,481 41,971,444 20,985,722 10,492,861 31,478,584 15,739,292 7,869,646 3,934,823 11,804,470 5,902,235 17,706,706 8,853,353 26,560,060 13,280,030 6,640,015

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
← Previous Integer #807,806 Browse Full Index Next Integer #807,808 →