λ
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Atlas › Integer Profiles › Node 52,531,710

52,531,710

2 × 3 × 5 × 7 × 11 × 22741
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 11 × 22741
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 157,192,704
Proper Divisor Sum 104,660,994
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #52531709 ← → #52531711

Radix Representation

Decimal 52531710
Binary 11001000011001000111111110 (26 bits)
Octal 0o310310776
Hexadecimal 0x32191FE

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1,155 2,310 22,741 45,482 68,223 113,705 136,446 159,187 227,410 250,151 318,374 341,115 477,561 500,302 682,230 750,453 795,935 955,122 1,250,755 1,500,906 1,591,870 1,751,057 2,387,805 2,501,510 3,502,114 3,752,265 4,775,610 5,253,171 7,504,530 8,755,285

Collatz Trajectory (243 steps to reach 1)

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

52,531,710 26,265,855 78,797,566 39,398,783 118,196,350 59,098,175 177,294,526 88,647,263 265,941,790 132,970,895 398,912,686 199,456,343 598,369,030 299,184,515 897,553,546 448,776,773 1,346,330,320 673,165,160 336,582,580 168,291,290 84,145,645 252,436,936 126,218,468 63,109,234 31,554,617 94,663,852 47,331,926 23,665,963 70,997,890 35,498,945 106,496,836 53,248,418 26,624,209 79,872,628 39,936,314 19,968,157 59,904,472 29,952,236 14,976,118 7,488,059 22,464,178 11,232,089 33,696,268 16,848,134 8,424,067 25,272,202 12,636,101 37,908,304 18,954,152 9,477,076 4,738,538 2,369,269 7,107,808 3,553,904 1,776,952 888,476 444,238 222,119 666,358 333,179

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