7,027,220

2² × 5 × 351361

7,027,220 factors as 2^2 × 5 × 351361. Its 12 positive divisors give a proper-divisor sum of 7,729,984, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 351361

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,757,204

Proper Divisor Sum 7,729,984

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7027219 ← → #7027243

Radix Representation

Decimal	7027220
Binary	11010110011101000010100 (23 bits)
Octal	0o32635024
Hexadecimal	0x6B3A14

Divisor Catalog (12)

1 2 4 5 10 20 351,361 702,722 1,405,444 1,756,805 3,513,610 7,027,220

Collatz Trajectory (191 steps to reach 1)

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

7,027,220 3,513,610 1,756,805 5,270,416 2,635,208 1,317,604 658,802 329,401 988,204 494,102 247,051 741,154 370,577 1,111,732 555,866 277,933 833,800 416,900 208,450 104,225 312,676 156,338 78,169 234,508 117,254 58,627 175,882 87,941 263,824 131,912 65,956 32,978 16,489 49,468 24,734 12,367 37,102 18,551 55,654 27,827 83,482 41,741 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432

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