9,735,809

19² × 149 × 181

9,735,809 factors as 19^2 × 149 × 181. Its 12 positive divisors give a proper-divisor sum of 665,491, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 19^2 × 149 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,401,300

Proper Divisor Sum 665,491

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9735797 ← → #9735821

Radix Representation

Decimal	9735809
Binary	100101001000111010000001 (24 bits)
Octal	0o45107201
Hexadecimal	0x948E81

Divisor Catalog (12)

1 19 149 181 361 2,831 3,439 26,969 53,789 65,341 512,411 9,735,809

Collatz Trajectory (176 steps to reach 1)

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

9,735,809 29,207,428 14,603,714 7,301,857 21,905,572 10,952,786 5,476,393 16,429,180 8,214,590 4,107,295 12,321,886 6,160,943 18,482,830 9,241,415 27,724,246 13,862,123 41,586,370 20,793,185 62,379,556 31,189,778 15,594,889 46,784,668 23,392,334 11,696,167 35,088,502 17,544,251 52,632,754 26,316,377 78,949,132 39,474,566 19,737,283 59,211,850 29,605,925 88,817,776 44,408,888 22,204,444 11,102,222 5,551,111 16,653,334 8,326,667 24,980,002 12,490,001 37,470,004 18,735,002 9,367,501 28,102,504 14,051,252 7,025,626 3,512,813 10,538,440 5,269,220 2,634,610 1,317,305 3,951,916 1,975,958 987,979 2,963,938 1,481,969 4,445,908 2,222,954

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