27,904

2⁸ × 109

27,904 factors as 2^8 × 109. Its 18 positive divisors give a proper-divisor sum of 28,306, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^8 × 109

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 56,210

Proper Divisor Sum 28,306

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #27901 ← → #27917

Radix Representation

Decimal	27904
Binary	110110100000000 (15 bits)
Octal	0o66400
Hexadecimal	0x6D00

Divisor Catalog (18)

1 2 4 8 16 32 64 109 128 218 256 436 872 1,744 3,488 6,976 13,952 27,904

Collatz Trajectory (121 steps to reach 1)

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

27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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