353,547

3² × 163 × 241

353,547 factors as 3^2 × 163 × 241. Its 12 positive divisors give a proper-divisor sum of 162,397, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3^2 × 163 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 515,944

Proper Divisor Sum 162,397

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #353531 ← → #353557

Radix Representation

Decimal	353547
Binary	1010110010100001011 (19 bits)
Octal	0o1262413
Hexadecimal	0x5650B

Divisor Catalog (12)

1 3 9 163 241 489 723 1,467 2,169 39,283 117,849 353,547

Collatz Trajectory (122 steps to reach 1)

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

353,547 1,060,642 530,321 1,590,964 795,482 397,741 1,193,224 596,612 298,306 149,153 447,460 223,730 111,865 335,596 167,798 83,899 251,698 125,849 377,548 188,774 94,387 283,162 141,581 424,744 212,372 106,186 53,093 159,280 79,640 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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