17,514,900

2² × 3³ × 5² × 13 × 499

17,514,900 factors as 2^2 × 3^3 × 5^2 × 13 × 499. Its 144 positive divisors give a proper-divisor sum of 43,245,100, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 13 × 499

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 60,760,000

Proper Divisor Sum 43,245,100

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17514881 ← → #17514911

Radix Representation

Decimal	17514900
Binary	1000010110100000110010100 (25 bits)
Octal	0o102640624
Hexadecimal	0x10B4194

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 499 540 585 650 675 702 780 900 975 998 1,170 1,300 1,350

Collatz Trajectory (169 steps to reach 1)

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

17,514,900 8,757,450 4,378,725 13,136,176 6,568,088 3,284,044 1,642,022 821,011 2,463,034 1,231,517 3,694,552 1,847,276 923,638 461,819 1,385,458 692,729 2,078,188 1,039,094 519,547 1,558,642 779,321 2,337,964 1,168,982 584,491 1,753,474 876,737 2,630,212 1,315,106 657,553 1,972,660 986,330 493,165 1,479,496 739,748 369,874 184,937 554,812 277,406 138,703 416,110 208,055 624,166 312,083 936,250 468,125 1,404,376 702,188 351,094 175,547 526,642 263,321 789,964 394,982 197,491 592,474 296,237 888,712 444,356 222,178 111,089

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