7,110,792

2³ × 3² × 13 × 71 × 107

7,110,792 factors as 2^3 × 3^2 × 13 × 71 × 107. Its 96 positive divisors give a proper-divisor sum of 14,117,688, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 71 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,228,480

Proper Divisor Sum 14,117,688

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7110791 ← → #7110797

Radix Representation

Decimal	7110792
Binary	11011001000000010001000 (23 bits)
Octal	0o33100210
Hexadecimal	0x6C8088

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 107 117 142 156 213 214 234 284 312 321 426 428 468 568 639 642 852 856 923 936 963 1,278 1,284 1,391 1,704 1,846 1,926 2,556 2,568 2,769 2,782 3,692 3,852 4,173 5,112 5,538 5,564 7,384 7,597 7,704 8,307

Collatz Trajectory (266 steps to reach 1)

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

7,110,792 3,555,396 1,777,698 888,849 2,666,548 1,333,274 666,637 1,999,912 999,956 499,978 249,989 749,968 374,984 187,492 93,746 46,873 140,620 70,310 35,155 105,466 52,733 158,200 79,100 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628

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