5,580,972

2² × 3² × 155027

5,580,972 factors as 2^2 × 3^2 × 155027. Its 18 positive divisors give a proper-divisor sum of 8,526,576, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 155027

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,107,548

Proper Divisor Sum 8,526,576

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5580931 ← → #5580977

Radix Representation

Decimal	5580972
Binary	10101010010100010101100 (23 bits)
Octal	0o25224254
Hexadecimal	0x5528AC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 155,027 310,054 465,081 620,108 930,162 1,395,243 1,860,324 2,790,486 5,580,972

Collatz Trajectory (108 steps to reach 1)

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

5,580,972 2,790,486 1,395,243 4,185,730 2,092,865 6,278,596 3,139,298 1,569,649 4,708,948 2,354,474 1,177,237 3,531,712 1,765,856 882,928 441,464 220,732 110,366 55,183 165,550 82,775 248,326 124,163 372,490 186,245 558,736 279,368 139,684 69,842 34,921 104,764 52,382 26,191 78,574 39,287 117,862 58,931 176,794 88,397 265,192 132,596 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404

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