728,232

2³ × 3 × 19 × 1597

728,232 factors as 2^3 × 3 × 19 × 1597. Its 32 positive divisors give a proper-divisor sum of 1,189,368, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,917,600

Proper Divisor Sum 1,189,368

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #728209 ← → #728261

Radix Representation

Decimal	728232
Binary	10110001110010101000 (20 bits)
Octal	0o2616250
Hexadecimal	0xB1CA8

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1,597 3,194 4,791 6,388 9,582 12,776 19,164 30,343 38,328 60,686 91,029 121,372 182,058 242,744 364,116 728,232

Collatz Trajectory (136 steps to reach 1)

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

728,232 364,116 182,058 91,029 273,088 136,544 68,272 34,136 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

More profiles

3,785,020 4,096,370 8,587,492 6,873,712 3,781,582 9,091,170 200,084 8,089,307 8,893,295 5,089,096 667,065 447,993 6,845,765 4,368,194 5,395,874 8,582,510

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