327,474

2 × 3² × 7 × 23 × 113

327,474 has digital root 9. The neighboring primes are 327473 and 327479; its proper-divisor sum differs from the starting integer by 198,684.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 853,632

Proper Divisor Sum 526,158

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #327473 ← → #327479

Radix Representation

Decimal	327474
Binary	1001111111100110010 (19 bits)
Octal	0o1177462
Hexadecimal	0x4FF32

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 23 42 46 63 69 113 126 138 161 207 226 322 339 414 483 678 791 966 1,017 1,449 1,582 2,034 2,373 2,599 2,898 4,746 5,198 7,119 7,797 14,238 15,594 18,193 23,391 36,386 46,782 54,579 109,158 163,737 327,474

Collatz Trajectory (65 steps to reach 1)

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

327,474 163,737 491,212 245,606 122,803 368,410 184,205 552,616 276,308 138,154 69,077 207,232 103,616 51,808 25,904 12,952 6,476 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10

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