λ
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4,920,180

22 × 3 × 5 × 82003
Abundant Even Composite

4,920,180 factors as 2^2 × 3 × 5 × 82003. Its 24 positive divisors give a proper-divisor sum of 8,856,492, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 82003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,776,672
Proper Divisor Sum 8,856,492
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4920163 ← → #4920193

Radix Representation

Decimal 4920180
Binary 10010110001001101110100 (23 bits)
Octal 0o22611564
Hexadecimal 0x4B1374

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 82,003 164,006 246,009 328,012 410,015 492,018 820,030 984,036 1,230,045 1,640,060 2,460,090 4,920,180

Collatz Trajectory (82 steps to reach 1)

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

4,920,180 2,460,090 1,230,045 3,690,136 1,845,068 922,534 461,267 1,383,802 691,901 2,075,704 1,037,852 518,926 259,463 778,390 389,195 1,167,586 583,793 1,751,380 875,690 437,845 1,313,536 656,768 328,384 164,192 82,096 41,048 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148

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