175,200

2⁵ × 3 × 5² × 73

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 578,088

Proper Divisor Sum 402,888

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #175141 ← → #175211

Radix Representation

Decimal	175200
Binary	101010110001100000 (18 bits)
Octal	0o526140
Hexadecimal	0x2AC60

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 146 150 160 200 219 240 292 300 365 400 438 480 584 600 730 800 876 1,095 1,168 1,200 1,460 1,752 1,825 2,190 2,336 2,400 2,920 3,504 3,650 4,380 5,475 5,840 7,008 7,300

Collatz Trajectory (46 steps to reach 1)

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

175,200 87,600 43,800 21,900 10,950 5,475 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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