52,515

3³ × 5 × 389

For 52,515, the 16 positive divisors have a total of 93,600. Removing 52,515 leaves 41,085, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 5 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 93,600

Proper Divisor Sum 41,085

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #52511 ← → #52517

Radix Representation

Decimal	52515
Binary	1100110100100011 (16 bits)
Octal	0o146443
Hexadecimal	0xCD23

Divisor Catalog (16)

1 3 5 9 15 27 45 135 389 1,167 1,945 3,501 5,835 10,503 17,505 52,515

Collatz Trajectory (78 steps to reach 1)

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

52,515 157,546 78,773 236,320 118,160 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

← Previous Integer #52,514 Browse Full Index Next Integer #52,516 →