λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,841,377
9,841,377
3 × 7 × 132 × 47 × 59
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13^2 × 47 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,865,280
Proper Divisor Sum 7,023,903
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9841369 ← → #9841379

Radix Representation

Decimal 9841377
Binary 100101100010101011100001 (24 bits)
Octal 0o45425341
Hexadecimal 0x962AE1

Divisor Catalog (48)

1 3 7 13 21 39 47 59 91 141 169 177 273 329 413 507 611 767 987 1,183 1,239 1,833 2,301 2,773 3,549 4,277 5,369 7,943 8,319 9,971 12,831 16,107 19,411 23,829 29,913 36,049 55,601 58,233 69,797 108,147 166,803 209,391 252,343 468,637 757,029 1,405,911 3,280,459 9,841,377

Collatz Trajectory (168 steps to reach 1)

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

9,841,377 29,524,132 14,762,066 7,381,033 22,143,100 11,071,550 5,535,775 16,607,326 8,303,663 24,910,990 12,455,495 37,366,486 18,683,243 56,049,730 28,024,865 84,074,596 42,037,298 21,018,649 63,055,948 31,527,974 15,763,987 47,291,962 23,645,981 70,937,944 35,468,972 17,734,486 8,867,243 26,601,730 13,300,865 39,902,596 19,951,298 9,975,649 29,926,948 14,963,474 7,481,737 22,445,212 11,222,606 5,611,303 16,833,910 8,416,955 25,250,866 12,625,433 37,876,300 18,938,150 9,469,075 28,407,226 14,203,613 42,610,840 21,305,420 10,652,710 5,326,355 15,979,066 7,989,533 23,968,600 11,984,300 5,992,150 2,996,075 8,988,226 4,494,113 13,482,340

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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