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Atlas › Integer Profiles › Node 9,104,823

9,104,823

32 × 7 × 13 × 11117
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 11117
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,187,808
Proper Divisor Sum 7,082,985
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9104807 ← → #9104833

Radix Representation

Decimal 9104823
Binary 100010101110110110110111 (24 bits)
Octal 0o42566667
Hexadecimal 0x8AEDB7

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 11,117 33,351 77,819 100,053 144,521 233,457 433,563 700,371 1,011,647 1,300,689 3,034,941 9,104,823

Collatz Trajectory (106 steps to reach 1)

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

9,104,823 27,314,470 13,657,235 40,971,706 20,485,853 61,457,560 30,728,780 15,364,390 7,682,195 23,046,586 11,523,293 34,569,880 17,284,940 8,642,470 4,321,235 12,963,706 6,481,853 19,445,560 9,722,780 4,861,390 2,430,695 7,292,086 3,646,043 10,938,130 5,469,065 16,407,196 8,203,598 4,101,799 12,305,398 6,152,699 18,458,098 9,229,049 27,687,148 13,843,574 6,921,787 20,765,362 10,382,681 31,148,044 15,574,022 7,787,011 23,361,034 11,680,517 35,041,552 17,520,776 8,760,388 4,380,194 2,190,097 6,570,292 3,285,146 1,642,573 4,927,720 2,463,860 1,231,930 615,965 1,847,896 923,948 461,974 230,987 692,962 346,481

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