λ
Ratio Atlas
Atlas › Integer Profiles › Node 780,767
780,767
13 × 19 × 29 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 13 × 19 × 29 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 924,000
Proper Divisor Sum 143,233
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #780733 ← → #780799

Radix Representation

Decimal 780767
Binary 10111110100111011111 (20 bits)
Octal 0o2764737
Hexadecimal 0xBE9DF

Divisor Catalog (16)

1 13 19 29 109 247 377 551 1,417 2,071 3,161 7,163 26,923 41,093 60,059 780,767

Collatz Trajectory (131 steps to reach 1)

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

780,767 2,342,302 1,171,151 3,513,454 1,756,727 5,270,182 2,635,091 7,905,274 3,952,637 11,857,912 5,928,956 2,964,478 1,482,239 4,446,718 2,223,359 6,670,078 3,335,039 10,005,118 5,002,559 15,007,678 7,503,839 22,511,518 11,255,759 33,767,278 16,883,639 50,650,918 25,325,459 75,976,378 37,988,189 113,964,568 56,982,284 28,491,142 14,245,571 42,736,714 21,368,357 64,105,072 32,052,536 16,026,268 8,013,134 4,006,567 12,019,702 6,009,851 18,029,554 9,014,777 27,044,332 13,522,166 6,761,083 20,283,250 10,141,625 30,424,876 15,212,438 7,606,219 22,818,658 11,409,329 34,227,988 17,113,994 8,556,997 25,670,992 12,835,496 6,417,748

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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