λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,333,700
41,333,700
22 × 3 × 52 × 29 × 4751
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 29 × 4751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 123,742,080
Proper Divisor Sum 82,408,380
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41333659 ← → #41333701

Radix Representation

Decimal 41333700
Binary 10011101101011001111000100 (26 bits)
Octal 0o235531704
Hexadecimal 0x276B3C4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1,450 1,740 2,175 2,900 4,350 4,751 8,700 9,502 14,253 19,004 23,755 28,506 47,510 57,012 71,265 95,020 118,775 137,779 142,530 237,550 275,558 285,060 356,325 413,337 475,100 551,116 688,895 712,650 826,674 1,377,790

Collatz Trajectory (160 steps to reach 1)

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

41,333,700 20,666,850 10,333,425 31,000,276 15,500,138 7,750,069 23,250,208 11,625,104 5,812,552 2,906,276 1,453,138 726,569 2,179,708 1,089,854 544,927 1,634,782 817,391 2,452,174 1,226,087 3,678,262 1,839,131 5,517,394 2,758,697 8,276,092 4,138,046 2,069,023 6,207,070 3,103,535 9,310,606 4,655,303 13,965,910 6,982,955 20,948,866 10,474,433 31,423,300 15,711,650 7,855,825 23,567,476 11,783,738 5,891,869 17,675,608 8,837,804 4,418,902 2,209,451 6,628,354 3,314,177 9,942,532 4,971,266 2,485,633 7,456,900 3,728,450 1,864,225 5,592,676 2,796,338 1,398,169 4,194,508 2,097,254 1,048,627 3,145,882 1,572,941

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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