27,099

3² × 3011

For 27,099, the 6 positive divisors have a total of 39,156. Removing 27,099 leaves 12,057, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 3011

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 39,156

Proper Divisor Sum 12,057

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #27091 ← → #27103

Radix Representation

Decimal	27099
Binary	110100111011011 (15 bits)
Octal	0o64733
Hexadecimal	0x69DB

Divisor Catalog (6)

1 3 9 3,011 9,033 27,099

Collatz Trajectory (139 steps to reach 1)

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

27,099 81,298 40,649 121,948 60,974 30,487 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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