λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,706,875
9,706,875
3 × 54 × 31 × 167
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^4 × 31 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,794,624
Proper Divisor Sum 7,087,749
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9706867 ← → #9706877

Radix Representation

Decimal 9706875
Binary 100101000001110101111011 (24 bits)
Octal 0o45016573
Hexadecimal 0x941D7B

Divisor Catalog (40)

1 3 5 15 25 31 75 93 125 155 167 375 465 501 625 775 835 1,875 2,325 2,505 3,875 4,175 5,177 11,625 12,525 15,531 19,375 20,875 25,885 58,125 62,625 77,655 104,375 129,425 313,125 388,275 647,125 1,941,375 3,235,625 9,706,875

Collatz Trajectory (238 steps to reach 1)

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

9,706,875 29,120,626 14,560,313 43,680,940 21,840,470 10,920,235 32,760,706 16,380,353 49,141,060 24,570,530 12,285,265 36,855,796 18,427,898 9,213,949 27,641,848 13,820,924 6,910,462 3,455,231 10,365,694 5,182,847 15,548,542 7,774,271 23,322,814 11,661,407 34,984,222 17,492,111 52,476,334 26,238,167 78,714,502 39,357,251 118,071,754 59,035,877 177,107,632 88,553,816 44,276,908 22,138,454 11,069,227 33,207,682 16,603,841 49,811,524 24,905,762 12,452,881 37,358,644 18,679,322 9,339,661 28,018,984 14,009,492 7,004,746 3,502,373 10,507,120 5,253,560 2,626,780 1,313,390 656,695 1,970,086 985,043 2,955,130 1,477,565 4,432,696 2,216,348

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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