235,776

2⁸ × 3 × 307

235,776 factors as 2^8 × 3 × 307. Its 36 positive divisors give a proper-divisor sum of 393,776, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 307

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 629,552

Proper Divisor Sum 393,776

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #235751 ← → #235783

Radix Representation

Decimal	235776
Binary	111001100100000000 (18 bits)
Octal	0o714400
Hexadecimal	0x39900

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 614 768 921 1,228 1,842 2,456 3,684 4,912 7,368 9,824 14,736 19,648 29,472 39,296 58,944 78,592 117,888 235,776

Collatz Trajectory (137 steps to reach 1)

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

235,776 117,888 58,944 29,472 14,736 7,368 3,684 1,842 921 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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