λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,767,667
9,767,667
3 × 7 × 13 × 37 × 967
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 37 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,479,232
Proper Divisor Sum 6,711,565
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9767657 ← → #9767671

Radix Representation

Decimal 9767667
Binary 100101010000101011110011 (24 bits)
Octal 0o45205363
Hexadecimal 0x950AF3

Divisor Catalog (32)

1 3 7 13 21 37 39 91 111 259 273 481 777 967 1,443 2,901 3,367 6,769 10,101 12,571 20,307 35,779 37,713 87,997 107,337 250,453 263,991 465,127 751,359 1,395,381 3,255,889 9,767,667

Collatz Trajectory (150 steps to reach 1)

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

9,767,667 29,303,002 14,651,501 43,954,504 21,977,252 10,988,626 5,494,313 16,482,940 8,241,470 4,120,735 12,362,206 6,181,103 18,543,310 9,271,655 27,814,966 13,907,483 41,722,450 20,861,225 62,583,676 31,291,838 15,645,919 46,937,758 23,468,879 70,406,638 35,203,319 105,609,958 52,804,979 158,414,938 79,207,469 237,622,408 118,811,204 59,405,602 29,702,801 89,108,404 44,554,202 22,277,101 66,831,304 33,415,652 16,707,826 8,353,913 25,061,740 12,530,870 6,265,435 18,796,306 9,398,153 28,194,460 14,097,230 7,048,615 21,145,846 10,572,923 31,718,770 15,859,385 47,578,156 23,789,078 11,894,539 35,683,618 17,841,809 53,525,428 26,762,714 13,381,357

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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