711,900

2² × 3² × 5² × 7 × 113

711,900 factors as 2^2 × 3^2 × 5^2 × 7 × 113. Its 108 positive divisors give a proper-divisor sum of 1,860,852, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,572,752

Proper Divisor Sum 1,860,852

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #711899 ← → #711913

Radix Representation

Decimal	711900
Binary	10101101110011011100 (20 bits)
Octal	0o2556334
Hexadecimal	0xADCDC

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 113 126 140 150 175 180 210 225 226 252 300 315 339 350 420 450 452 525 565 630 678 700 791 900 1,017 1,050 1,130 1,260 1,356

Collatz Trajectory (97 steps to reach 1)

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

711,900 355,950 177,975 533,926 266,963 800,890 400,445 1,201,336 600,668 300,334 150,167 450,502 225,251 675,754 337,877 1,013,632 506,816 253,408 126,704 63,352 31,676 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517

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