9,768,069

3² × 31 × 157 × 223

For 9,768,069, the 24 positive divisors have a total of 14,723,072. Removing 9,768,069 leaves 4,955,003, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 31 × 157 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,723,072

Proper Divisor Sum 4,955,003

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9768067 ← → #9768079

Radix Representation

Decimal	9768069
Binary	100101010000110010000101 (24 bits)
Octal	0o45206205
Hexadecimal	0x950C85

Divisor Catalog (24)

1 3 9 31 93 157 223 279 471 669 1,413 2,007 4,867 6,913 14,601 20,739 35,011 43,803 62,217 105,033 315,099 1,085,341 3,256,023 9,768,069

Collatz Trajectory (207 steps to reach 1)

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

9,768,069 29,304,208 14,652,104 7,326,052 3,663,026 1,831,513 5,494,540 2,747,270 1,373,635 4,120,906 2,060,453 6,181,360 3,090,680 1,545,340 772,670 386,335 1,159,006 579,503 1,738,510 869,255 2,607,766 1,303,883 3,911,650 1,955,825 5,867,476 2,933,738 1,466,869 4,400,608 2,200,304 1,100,152 550,076 275,038 137,519 412,558 206,279 618,838 309,419 928,258 464,129 1,392,388 696,194 348,097 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955

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