7,686,580

2² × 5 × 11 × 34939

7,686,580 factors as 2^2 × 5 × 11 × 34939. Its 24 positive divisors give a proper-divisor sum of 9,923,180, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 34939

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,609,760

Proper Divisor Sum 9,923,180

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7686541 ← → #7686589

Radix Representation

Decimal	7686580
Binary	11101010100100110110100 (23 bits)
Octal	0o35244664
Hexadecimal	0x7549B4

Divisor Catalog (24)

Collatz Trajectory (204 steps to reach 1)

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

7,686,580 3,843,290 1,921,645 5,764,936 2,882,468 1,441,234 720,617 2,161,852 1,080,926 540,463 1,621,390 810,695 2,432,086 1,216,043 3,648,130 1,824,065 5,472,196 2,736,098 1,368,049 4,104,148 2,052,074 1,026,037 3,078,112 1,539,056 769,528 384,764 192,382 96,191 288,574 144,287 432,862 216,431 649,294 324,647 973,942 486,971 1,460,914 730,457 2,191,372 1,095,686 547,843 1,643,530 821,765 2,465,296 1,232,648 616,324 308,162 154,081 462,244 231,122 115,561 346,684 173,342 86,671 260,014 130,007 390,022 195,011 585,034 292,517

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