549,675

3² × 5² × 7 × 349

549,675 factors as 3^2 × 5^2 × 7 × 349. Its 36 positive divisors give a proper-divisor sum of 578,725, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,128,400

Proper Divisor Sum 578,725

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #549667 ← → #549683

Radix Representation

Decimal	549675
Binary	10000110001100101011 (20 bits)
Octal	0o2061453
Hexadecimal	0x8632B

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 349 525 1,047 1,575 1,745 2,443 3,141 5,235 7,329 8,725 12,215 15,705 21,987 26,175 36,645 61,075 78,525 109,935 183,225 549,675

Collatz Trajectory (177 steps to reach 1)

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

549,675 1,649,026 824,513 2,473,540 1,236,770 618,385 1,855,156 927,578 463,789 1,391,368 695,684 347,842 173,921 521,764 260,882 130,441 391,324 195,662 97,831 293,494 146,747 440,242 220,121 660,364 330,182 165,091 495,274 247,637 742,912 371,456 185,728 92,864 46,432 23,216 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97

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