λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,304,449
9,304,449
3 × 7 × 11 × 47 × 857
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 47 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,814,656
Proper Divisor Sum 6,510,207
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9304429 ← → #9304453

Radix Representation

Decimal 9304449
Binary 100011011111100110000001 (24 bits)
Octal 0o43374601
Hexadecimal 0x8DF981

Divisor Catalog (32)

1 3 7 11 21 33 47 77 141 231 329 517 857 987 1,551 2,571 3,619 5,999 9,427 10,857 17,997 28,281 40,279 65,989 120,837 197,967 281,953 443,069 845,859 1,329,207 3,101,483 9,304,449

Collatz Trajectory (256 steps to reach 1)

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

9,304,449 27,913,348 13,956,674 6,978,337 20,935,012 10,467,506 5,233,753 15,701,260 7,850,630 3,925,315 11,775,946 5,887,973 17,663,920 8,831,960 4,415,980 2,207,990 1,103,995 3,311,986 1,655,993 4,967,980 2,483,990 1,241,995 3,725,986 1,862,993 5,588,980 2,794,490 1,397,245 4,191,736 2,095,868 1,047,934 523,967 1,571,902 785,951 2,357,854 1,178,927 3,536,782 1,768,391 5,305,174 2,652,587 7,957,762 3,978,881 11,936,644 5,968,322 2,984,161 8,952,484 4,476,242 2,238,121 6,714,364 3,357,182 1,678,591 5,035,774 2,517,887 7,553,662 3,776,831 11,330,494 5,665,247 16,995,742 8,497,871 25,493,614 12,746,807

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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