104,490

2 × 3⁵ × 5 × 43

For 104,490, the 48 positive divisors have a total of 288,288. Removing 104,490 leaves 183,798, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 288,288

Proper Divisor Sum 183,798

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #104479 ← → #104491

Radix Representation

Decimal	104490
Binary	11001100000101010 (17 bits)
Octal	0o314052
Hexadecimal	0x1982A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 486 645 774 810 1,161 1,215 1,290 1,935 2,322 2,430 3,483 3,870 5,805 6,966 10,449 11,610 17,415 20,898 34,830 52,245 104,490

Collatz Trajectory (141 steps to reach 1)

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

104,490 52,245 156,736 78,368 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 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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