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Ratio Atlas
Atlas › Integer Profiles › Node 32,320,053
32,320,053
34 × 311 × 1283
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 311 × 1283
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 48,473,568
Proper Divisor Sum 16,153,515
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #32320051 ← → #32320087

Radix Representation

Decimal 32320053
Binary 1111011010010101000110101 (25 bits)
Octal 0o173225065
Hexadecimal 0x1ED2A35

Divisor Catalog (20)

1 3 9 27 81 311 933 1,283 2,799 3,849 8,397 11,547 25,191 34,641 103,923 399,013 1,197,039 3,591,117 10,773,351 32,320,053

Collatz Trajectory (276 steps to reach 1)

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

32,320,053 96,960,160 48,480,080 24,240,040 12,120,020 6,060,010 3,030,005 9,090,016 4,545,008 2,272,504 1,136,252 568,126 284,063 852,190 426,095 1,278,286 639,143 1,917,430 958,715 2,876,146 1,438,073 4,314,220 2,157,110 1,078,555 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502

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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