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Atlas › Integer Profiles › Node 5,008,180

5,008,180

22 × 5 × 250409
Abundant Even Composite

5,008,180 factors as 2^2 × 5 × 250409. Its 12 positive divisors give a proper-divisor sum of 5,509,040, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 250409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,517,220
Proper Divisor Sum 5,509,040
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5008151 ← → #5008187

Radix Representation

Decimal 5008180
Binary 10011000110101100110100 (23 bits)
Octal 0o23065464
Hexadecimal 0x4C6B34

Divisor Catalog (12)

1 2 4 5 10 20 250,409 500,818 1,001,636 1,252,045 2,504,090 5,008,180

Collatz Trajectory (56 steps to reach 1)

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

5,008,180 2,504,090 1,252,045 3,756,136 1,878,068 939,034 469,517 1,408,552 704,276 352,138 176,069 528,208 264,104 132,052 66,026 33,013 99,040 49,520 24,760 12,380 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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