7,718,660

2² × 5 × 41 × 9413

7,718,660 factors as 2^2 × 5 × 41 × 9413. Its 24 positive divisors give a proper-divisor sum of 8,887,636, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 9413

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,606,296

Proper Divisor Sum 8,887,636

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7718653 ← → #7718671

Radix Representation

Decimal	7718660
Binary	11101011100011100000100 (23 bits)
Octal	0o35343404
Hexadecimal	0x75C704

Divisor Catalog (24)

Collatz Trajectory (186 steps to reach 1)

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

7,718,660 3,859,330 1,929,665 5,788,996 2,894,498 1,447,249 4,341,748 2,170,874 1,085,437 3,256,312 1,628,156 814,078 407,039 1,221,118 610,559 1,831,678 915,839 2,747,518 1,373,759 4,121,278 2,060,639 6,181,918 3,090,959 9,272,878 4,636,439 13,909,318 6,954,659 20,863,978 10,431,989 31,295,968 15,647,984 7,823,992 3,911,996 1,955,998 977,999 2,933,998 1,466,999 4,400,998 2,200,499 6,601,498 3,300,749 9,902,248 4,951,124 2,475,562 1,237,781 3,713,344 1,856,672 928,336 464,168 232,084 116,042 58,021 174,064 87,032 43,516 21,758 10,879 32,638 16,319 48,958

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