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Ratio Atlas
Atlas › Integer Profiles › Node 10,242,813
10,242,813
3 × 72 × 59 × 1181
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 59 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,169,760
Proper Divisor Sum 5,926,947
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10242809 ← → #10242847

Radix Representation

Decimal 10242813
Binary 100111000100101011111101 (24 bits)
Octal 0o47045375
Hexadecimal 0x9C4AFD

Divisor Catalog (24)

1 3 7 21 49 59 147 177 413 1,181 1,239 2,891 3,543 8,267 8,673 24,801 57,869 69,679 173,607 209,037 487,753 1,463,259 3,414,271 10,242,813

Collatz Trajectory (238 steps to reach 1)

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

10,242,813 30,728,440 15,364,220 7,682,110 3,841,055 11,523,166 5,761,583 17,284,750 8,642,375 25,927,126 12,963,563 38,890,690 19,445,345 58,336,036 29,168,018 14,584,009 43,752,028 21,876,014 10,938,007 32,814,022 16,407,011 49,221,034 24,610,517 73,831,552 36,915,776 18,457,888 9,228,944 4,614,472 2,307,236 1,153,618 576,809 1,730,428 865,214 432,607 1,297,822 648,911 1,946,734 973,367 2,920,102 1,460,051 4,380,154 2,190,077 6,570,232 3,285,116 1,642,558 821,279 2,463,838 1,231,919 3,695,758 1,847,879 5,543,638 2,771,819 8,315,458 4,157,729 12,473,188 6,236,594 3,118,297 9,354,892 4,677,446 2,338,723

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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