327,488

2⁶ × 7 × 17 × 43

For 327,488, the 56 positive divisors have a total of 804,672. Removing 327,488 leaves 477,184, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 7 × 17 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 804,672

Proper Divisor Sum 477,184

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #327479 ← → #327491

Radix Representation

Decimal	327488
Binary	1001111111101000000 (19 bits)
Octal	0o1177500
Hexadecimal	0x4FF40

Divisor Catalog (56)

1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 112 119 136 172 224 238 272 301 344 448 476 544 602 688 731 952 1,088 1,204 1,376 1,462 1,904 2,408 2,752 2,924 3,808 4,816 5,117 5,848 7,616 9,632 10,234 11,696 19,264 20,468 23,392 40,936 46,784 81,872 163,744 327,488

Collatz Trajectory (140 steps to reach 1)

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

327,488 163,744 81,872 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350

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