λ
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5,487,558

2 × 3 × 31 × 163 × 181
Abundant Even Composite

5,487,558 factors as 2 × 3 × 31 × 163 × 181. Its 32 positive divisors give a proper-divisor sum of 5,974,074, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 163 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,461,632
Proper Divisor Sum 5,974,074
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5487551 ← → #5487611

Radix Representation

Decimal 5487558
Binary 10100111011101111000110 (23 bits)
Octal 0o24735706
Hexadecimal 0x53BBC6

Divisor Catalog (32)

1 2 3 6 31 62 93 163 181 186 326 362 489 543 978 1,086 5,053 5,611 10,106 11,222 15,159 16,833 29,503 30,318 33,666 59,006 88,509 177,018 914,593 1,829,186 2,743,779 5,487,558

Collatz Trajectory (201 steps to reach 1)

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

5,487,558 2,743,779 8,231,338 4,115,669 12,347,008 6,173,504 3,086,752 1,543,376 771,688 385,844 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828

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