18,315

3² × 5 × 11 × 37

18,315 has the prime decomposition 3^2 × 5 × 11 × 37. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 35,568

Proper Divisor Sum 17,253

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #18313 ← → #18329

Radix Representation

Decimal	18315
Binary	100011110001011 (15 bits)
Octal	0o43613
Hexadecimal	0x478B

Divisor Catalog (24)

1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1,221 1,665 2,035 3,663 6,105 18,315

Collatz Trajectory (97 steps to reach 1)

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

18,315 54,946 27,473 82,420 41,210 20,605 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100

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