λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,032,567
46,032,567
3 × 7 × 53 × 59 × 701
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 53 × 59 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,783,360
Proper Divisor Sum 26,750,793
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #46032533 ← → #46032601

Radix Representation

Decimal 46032567
Binary 10101111100110011010110111 (26 bits)
Octal 0o257463267
Hexadecimal 0x2BE66B7

Divisor Catalog (32)

1 3 7 21 53 59 159 177 371 413 701 1,113 1,239 2,103 3,127 4,907 9,381 14,721 21,889 37,153 41,359 65,667 111,459 124,077 260,071 289,513 780,213 868,539 2,192,027 6,576,081 15,344,189 46,032,567

Collatz Trajectory (279 steps to reach 1)

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

46,032,567 138,097,702 69,048,851 207,146,554 103,573,277 310,719,832 155,359,916 77,679,958 38,839,979 116,519,938 58,259,969 174,779,908 87,389,954 43,694,977 131,084,932 65,542,466 32,771,233 98,313,700 49,156,850 24,578,425 73,735,276 36,867,638 18,433,819 55,301,458 27,650,729 82,952,188 41,476,094 20,738,047 62,214,142 31,107,071 93,321,214 46,660,607 139,981,822 69,990,911 209,972,734 104,986,367 314,959,102 157,479,551 472,438,654 236,219,327 708,657,982 354,328,991 1,062,986,974 531,493,487 1,594,480,462 797,240,231 2,391,720,694 1,195,860,347 3,587,581,042 1,793,790,521 5,381,371,564 2,690,685,782 1,345,342,891 4,036,028,674 2,018,014,337 6,054,043,012 3,027,021,506 1,513,510,753 4,540,532,260 2,270,266,130

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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