150,327

3² × 16703

150,327 has digital root 9. The neighboring primes are 150323 and 150329; its proper-divisor sum differs from the starting integer by -83,502.

Prime Factor Structure

Factorization String 3^2 × 16703

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 217,152

Proper Divisor Sum 66,825

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #150323 ← → #150329

Radix Representation

Decimal	150327
Binary	100100101100110111 (18 bits)
Octal	0o445467
Hexadecimal	0x24B37

Divisor Catalog (6)

1 3 9 16,703 50,109 150,327

Collatz Trajectory (64 steps to reach 1)

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

150,327 450,982 225,491 676,474 338,237 1,014,712 507,356 253,678 126,839 380,518 190,259 570,778 285,389 856,168 428,084 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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