720,275

5² × 47 × 613

720,275 factors as 5^2 × 47 × 613. Its 12 positive divisors give a proper-divisor sum of 193,357, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 5^2 × 47 × 613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 913,632

Proper Divisor Sum 193,357

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #720257 ← → #720281

Radix Representation

Decimal	720275
Binary	10101111110110010011 (20 bits)
Octal	0o2576623
Hexadecimal	0xAFD93

Divisor Catalog (12)

1 5 25 47 235 613 1,175 3,065 15,325 28,811 144,055 720,275

Collatz Trajectory (105 steps to reach 1)

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

720,275 2,160,826 1,080,413 3,241,240 1,620,620 810,310 405,155 1,215,466 607,733 1,823,200 911,600 455,800 227,900 113,950 56,975 170,926 85,463 256,390 128,195 384,586 192,293 576,880 288,440 144,220 72,110 36,055 108,166 54,083 162,250 81,125 243,376 121,688 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127

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