λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,985,697
67,985,697
3 × 13 × 31 × 53 × 1061
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 31 × 53 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,767,616
Proper Divisor Sum 34,781,919
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #67985689 ← → #67985699

Radix Representation

Decimal 67985697
Binary 100000011010110000100100001 (27 bits)
Octal 0o403260441
Hexadecimal 0x40D6121

Divisor Catalog (32)

1 3 13 31 39 53 93 159 403 689 1,061 1,209 1,643 2,067 3,183 4,929 13,793 21,359 32,891 41,379 56,233 64,077 98,673 168,699 427,583 731,029 1,282,749 1,743,223 2,193,087 5,229,669 22,661,899 67,985,697

Collatz Trajectory (277 steps to reach 1)

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

67,985,697 203,957,092 101,978,546 50,989,273 152,967,820 76,483,910 38,241,955 114,725,866 57,362,933 172,088,800 86,044,400 43,022,200 21,511,100 10,755,550 5,377,775 16,133,326 8,066,663 24,199,990 12,099,995 36,299,986 18,149,993 54,449,980 27,224,990 13,612,495 40,837,486 20,418,743 61,256,230 30,628,115 91,884,346 45,942,173 137,826,520 68,913,260 34,456,630 17,228,315 51,684,946 25,842,473 77,527,420 38,763,710 19,381,855 58,145,566 29,072,783 87,218,350 43,609,175 130,827,526 65,413,763 196,241,290 98,120,645 294,361,936 147,180,968 73,590,484 36,795,242 18,397,621 55,192,864 27,596,432 13,798,216 6,899,108 3,449,554 1,724,777 5,174,332 2,587,166

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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