175,050

2 × 3² × 5² × 389

175,050 factors as 2 × 3^2 × 5^2 × 389. Its 36 positive divisors give a proper-divisor sum of 296,460, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 471,510

Proper Divisor Sum 296,460

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #175039 ← → #175061

Radix Representation

Decimal	175050
Binary	101010101111001010 (18 bits)
Octal	0o525712
Hexadecimal	0x2ABCA

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 389 450 778 1,167 1,945 2,334 3,501 3,890 5,835 7,002 9,725 11,670 17,505 19,450 29,175 35,010 58,350 87,525 175,050

Collatz Trajectory (72 steps to reach 1)

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

175,050 87,525 262,576 131,288 65,644 32,822 16,411 49,234 24,617 73,852 36,926 18,463 55,390 27,695 83,086 41,543 124,630 62,315 186,946 93,473 280,420 140,210 70,105 210,316 105,158 52,579 157,738 78,869 236,608 118,304 59,152 29,576 14,788 7,394 3,697 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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