18,495

3³ × 5 × 137

18,495 factors as 3^3 × 5 × 137. Its 16 positive divisors give a proper-divisor sum of 14,625, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 33,120

Proper Divisor Sum 14,625

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #18493 ← → #18503

Radix Representation

Decimal	18495
Binary	100100000111111 (15 bits)
Octal	0o44077
Hexadecimal	0x483F

Divisor Catalog (16)

1 3 5 9 15 27 45 135 137 411 685 1,233 2,055 3,699 6,165 18,495

Collatz Trajectory (185 steps to reach 1)

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

18,495 55,486 27,743 83,230 41,615 124,846 62,423 187,270 93,635 280,906 140,453 421,360 210,680 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706

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