9,006,193

7 × 739 × 1741

For 9,006,193, the 8 positive divisors have a total of 10,312,640. Removing 9,006,193 leaves 1,306,447, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 739 × 1741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,312,640

Proper Divisor Sum 1,306,447

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9006191 ← → #9006197

Radix Representation

Decimal	9006193
Binary	100010010110110001110001 (24 bits)
Octal	0o42266161
Hexadecimal	0x896C71

Divisor Catalog (8)

1 7 739 1,741 5,173 12,187 1,286,599 9,006,193

Collatz Trajectory (137 steps to reach 1)

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

9,006,193 27,018,580 13,509,290 6,754,645 20,263,936 10,131,968 5,065,984 2,532,992 1,266,496 633,248 316,624 158,312 79,156 39,578 19,789 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

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