λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,732,012
9,732,012
22 × 3 × 113 × 7177
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 113 × 7177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,912,176
Proper Divisor Sum 13,180,164
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9732011 ← → #9732029

Radix Representation

Decimal 9732012
Binary 100101000111111110101100 (24 bits)
Octal 0o45077654
Hexadecimal 0x947FAC

Divisor Catalog (24)

1 2 3 4 6 12 113 226 339 452 678 1,356 7,177 14,354 21,531 28,708 43,062 86,124 811,001 1,622,002 2,433,003 3,244,004 4,866,006 9,732,012

Collatz Trajectory (344 steps to reach 1)

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

9,732,012 4,866,006 2,433,003 7,299,010 3,649,505 10,948,516 5,474,258 2,737,129 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126 13,153,063 39,459,190 19,729,595 59,188,786 29,594,393 88,783,180 44,391,590 22,195,795 66,587,386 33,293,693 99,881,080 49,940,540 24,970,270 12,485,135 37,455,406 18,727,703 56,183,110 28,091,555 84,274,666 42,137,333 126,412,000 63,206,000 31,603,000 15,801,500 7,900,750 3,950,375 11,851,126 5,925,563 17,776,690 8,888,345 26,665,036 13,332,518

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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