104,517

3³ × 7² × 79

For 104,517, the 24 positive divisors have a total of 182,400. Removing 104,517 leaves 77,883, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 79

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 182,400

Proper Divisor Sum 77,883

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #104513 ← → #104527

Radix Representation

Decimal	104517
Binary	11001100001000101 (17 bits)
Octal	0o314105
Hexadecimal	0x19845

Divisor Catalog (24)

1 3 7 9 21 27 49 63 79 147 189 237 441 553 711 1,323 1,659 2,133 3,871 4,977 11,613 14,931 34,839 104,517

Collatz Trajectory (141 steps to reach 1)

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

104,517 313,552 156,776 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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