17,514,000

2⁴ × 3² × 5³ × 7 × 139

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 7 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 70,412,160

Proper Divisor Sum 52,898,160

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #17513963 ← → #17514019

Radix Representation

Decimal	17514000
Binary	1000010110011111000010000 (25 bits)
Octal	0o102637020
Hexadecimal	0x10B3E10

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 100 105 112 120 125 126 139 140 144 150 168 175 180 200 210 225 240 250 252 278 280 300 315

Collatz Trajectory (319 steps to reach 1)

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

17,514,000 8,757,000 4,378,500 2,189,250 1,094,625 3,283,876 1,641,938 820,969 2,462,908 1,231,454 615,727 1,847,182 923,591 2,770,774 1,385,387 4,156,162 2,078,081 6,234,244 3,117,122 1,558,561 4,675,684 2,337,842 1,168,921 3,506,764 1,753,382 876,691 2,630,074 1,315,037 3,945,112 1,972,556 986,278 493,139 1,479,418 739,709 2,219,128 1,109,564 554,782 277,391 832,174 416,087 1,248,262 624,131 1,872,394 936,197 2,808,592 1,404,296 702,148 351,074 175,537 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 74,056 37,028 18,514

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