7,606,340

2² × 5 × 7 × 54331

7,606,340 factors as 2^2 × 5 × 7 × 54331. Its 24 positive divisors give a proper-divisor sum of 10,649,212, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 54331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,255,552

Proper Divisor Sum 10,649,212

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7606337 ← → #7606343

Radix Representation

Decimal	7606340
Binary	11101000001000001000100 (23 bits)
Octal	0o35010104
Hexadecimal	0x741044

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 54,331 108,662 217,324 271,655 380,317 543,310 760,634 1,086,620 1,521,268 1,901,585 3,803,170 7,606,340

Collatz Trajectory (129 steps to reach 1)

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

7,606,340 3,803,170 1,901,585 5,704,756 2,852,378 1,426,189 4,278,568 2,139,284 1,069,642 534,821 1,604,464 802,232 401,116 200,558 100,279 300,838 150,419 451,258 225,629 676,888 338,444 169,222 84,611 253,834 126,917 380,752 190,376 95,188 47,594 23,797 71,392 35,696 17,848 8,924 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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