235,712

2⁶ × 29 × 127

235,712 factors as 2^6 × 29 × 127. Its 28 positive divisors give a proper-divisor sum of 251,968, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 487,680

Proper Divisor Sum 251,968

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #235699 ← → #235723

Radix Representation

Decimal	235712
Binary	111001100011000000 (18 bits)
Octal	0o714300
Hexadecimal	0x398C0

Divisor Catalog (28)

1 2 4 8 16 29 32 58 64 116 127 232 254 464 508 928 1,016 1,856 2,032 3,683 4,064 7,366 8,128 14,732 29,464 58,928 117,856 235,712

Collatz Trajectory (137 steps to reach 1)

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

235,712 117,856 58,928 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 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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