7,990,220

2² × 5 × 7 × 57073

7,990,220 factors as 2^2 × 5 × 7 × 57073. Its 24 positive divisors give a proper-divisor sum of 11,186,644, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 57073

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,176,864

Proper Divisor Sum 11,186,644

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7990183 ← → #7990231

Radix Representation

Decimal	7990220
Binary	11110011110101111001100 (23 bits)
Octal	0o36365714
Hexadecimal	0x79EBCC

Divisor Catalog (24)

Collatz Trajectory (116 steps to reach 1)

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

7,990,220 3,995,110 1,997,555 5,992,666 2,996,333 8,989,000 4,494,500 2,247,250 1,123,625 3,370,876 1,685,438 842,719 2,528,158 1,264,079 3,792,238 1,896,119 5,688,358 2,844,179 8,532,538 4,266,269 12,798,808 6,399,404 3,199,702 1,599,851 4,799,554 2,399,777 7,199,332 3,599,666 1,799,833 5,399,500 2,699,750 1,349,875 4,049,626 2,024,813 6,074,440 3,037,220 1,518,610 759,305 2,277,916 1,138,958 569,479 1,708,438 854,219 2,562,658 1,281,329 3,843,988 1,921,994 960,997 2,882,992 1,441,496 720,748 360,374 180,187 540,562 270,281 810,844 405,422 202,711 608,134 304,067

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