105,904

2⁴ × 6619

105,904 has the prime decomposition 2^4 × 6619. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 6619

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 205,220

Proper Divisor Sum 99,316

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #105899 ← → #105907

Radix Representation

Decimal	105904
Binary	11001110110110000 (17 bits)
Octal	0o316660
Hexadecimal	0x19DB0

Divisor Catalog (10)

1 2 4 8 16 6,619 13,238 26,476 52,952 105,904

Collatz Trajectory (141 steps to reach 1)

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

105,904 52,952 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 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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