9,096,093

3² × 313 × 3229

9,096,093 has digital root 9. The neighboring primes are 9096083 and 9096097; its proper-divisor sum differs from the starting integer by -5,007,326.

Prime Factor Structure

Factorization String 3^2 × 313 × 3229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,184,860

Proper Divisor Sum 4,088,767

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9096083 ← → #9096097

Radix Representation

Decimal	9096093
Binary	100010101100101110011101 (24 bits)
Octal	0o42545635
Hexadecimal	0x8ACB9D

Divisor Catalog (12)

1 3 9 313 939 2,817 3,229 9,687 29,061 1,010,677 3,032,031 9,096,093

Collatz Trajectory (225 steps to reach 1)

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

9,096,093 27,288,280 13,644,140 6,822,070 3,411,035 10,233,106 5,116,553 15,349,660 7,674,830 3,837,415 11,512,246 5,756,123 17,268,370 8,634,185 25,902,556 12,951,278 6,475,639 19,426,918 9,713,459 29,140,378 14,570,189 43,710,568 21,855,284 10,927,642 5,463,821 16,391,464 8,195,732 4,097,866 2,048,933 6,146,800 3,073,400 1,536,700 768,350 384,175 1,152,526 576,263 1,728,790 864,395 2,593,186 1,296,593 3,889,780 1,944,890 972,445 2,917,336 1,458,668 729,334 364,667 1,094,002 547,001 1,641,004 820,502 410,251 1,230,754 615,377 1,846,132 923,066 461,533 1,384,600 692,300 346,150

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