327,758

2 × 29 × 5651

327,758 factors as 2 × 29 × 5651. Its 8 positive divisors give a proper-divisor sum of 180,922, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 2 × 29 × 5651

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 508,680

Proper Divisor Sum 180,922

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #327757 ← → #327779

Radix Representation

Decimal	327758
Binary	1010000000001001110 (19 bits)
Octal	0o1200116
Hexadecimal	0x5004E

Divisor Catalog (8)

1 2 29 58 5,651 11,302 163,879 327,758

Collatz Trajectory (246 steps to reach 1)

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

327,758 163,879 491,638 245,819 737,458 368,729 1,106,188 553,094 276,547 829,642 414,821 1,244,464 622,232 311,116 155,558 77,779 233,338 116,669 350,008 175,004 87,502 43,751 131,254 65,627 196,882 98,441 295,324 147,662 73,831 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265 354,796 177,398 88,699 266,098 133,049 399,148 199,574 99,787 299,362 149,681 449,044

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