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Atlas › Integer Profiles › Node 9,762,808

9,762,808

23 × 11 × 19 × 5839
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 5839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,024,000
Proper Divisor Sum 11,261,192
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9762773 ← → #9762829

Radix Representation

Decimal 9762808
Binary 100101001111011111111000 (24 bits)
Octal 0o45173770
Hexadecimal 0x94F7F8

Divisor Catalog (32)

1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1,672 5,839 11,678 23,356 46,712 64,229 110,941 128,458 221,882 256,916 443,764 513,832 887,528 1,220,351 2,440,702 4,881,404 9,762,808

Collatz Trajectory (251 steps to reach 1)

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

9,762,808 4,881,404 2,440,702 1,220,351 3,661,054 1,830,527 5,491,582 2,745,791 8,237,374 4,118,687 12,356,062 6,178,031 18,534,094 9,267,047 27,801,142 13,900,571 41,701,714 20,850,857 62,552,572 31,276,286 15,638,143 46,914,430 23,457,215 70,371,646 35,185,823 105,557,470 52,778,735 158,336,206 79,168,103 237,504,310 118,752,155 356,256,466 178,128,233 534,384,700 267,192,350 133,596,175 400,788,526 200,394,263 601,182,790 300,591,395 901,774,186 450,887,093 1,352,661,280 676,330,640 338,165,320 169,082,660 84,541,330 42,270,665 126,811,996 63,405,998 31,702,999 95,108,998 47,554,499 142,663,498 71,331,749 213,995,248 106,997,624 53,498,812 26,749,406 13,374,703

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