λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,244,064
10,244,064
25 × 3 × 17 × 6277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 6277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,477,008
Proper Divisor Sum 18,232,944
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10244053 ← → #10244089

Radix Representation

Decimal 10244064
Binary 100111000100111111100000 (24 bits)
Octal 0o47047740
Hexadecimal 0x9C4FE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1,632 6,277 12,554 18,831 25,108 37,662 50,216 75,324 100,432 106,709 150,648 200,864 213,418 301,296 320,127 426,836 602,592 640,254 853,672 1,280,508 1,707,344 2,561,016 3,414,688 5,122,032 10,244,064

Collatz Trajectory (269 steps to reach 1)

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

10,244,064 5,122,032 2,561,016 1,280,508 640,254 320,127 960,382 480,191 1,440,574 720,287 2,160,862 1,080,431 3,241,294 1,620,647 4,861,942 2,430,971 7,292,914 3,646,457 10,939,372 5,469,686 2,734,843 8,204,530 4,102,265 12,306,796 6,153,398 3,076,699 9,230,098 4,615,049 13,845,148 6,922,574 3,461,287 10,383,862 5,191,931 15,575,794 7,787,897 23,363,692 11,681,846 5,840,923 17,522,770 8,761,385 26,284,156 13,142,078 6,571,039 19,713,118 9,856,559 29,569,678 14,784,839 44,354,518 22,177,259 66,531,778 33,265,889 99,797,668 49,898,834 24,949,417 74,848,252 37,424,126 18,712,063 56,136,190 28,068,095 84,204,286

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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