λ
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Atlas › Integer Profiles › Node 5,108,990

5,108,990

2 × 5 × 23 × 97 × 229
Deficient Even Composite

5,108,990 factors as 2 × 5 × 23 × 97 × 229. Its 32 positive divisors give a proper-divisor sum of 4,628,290, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 97 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,737,280
Proper Divisor Sum 4,628,290
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5108989 ← → #5109019

Radix Representation

Decimal 5108990
Binary 10011011111010011111110 (23 bits)
Octal 0o23372376
Hexadecimal 0x4DF4FE

Divisor Catalog (32)

1 2 5 10 23 46 97 115 194 229 230 458 485 970 1,145 2,231 2,290 4,462 5,267 10,534 11,155 22,213 22,310 26,335 44,426 52,670 111,065 222,130 510,899 1,021,798 2,554,495 5,108,990

Collatz Trajectory (113 steps to reach 1)

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

5,108,990 2,554,495 7,663,486 3,831,743 11,495,230 5,747,615 17,242,846 8,621,423 25,864,270 12,932,135 38,796,406 19,398,203 58,194,610 29,097,305 87,291,916 43,645,958 21,822,979 65,468,938 32,734,469 98,203,408 49,101,704 24,550,852 12,275,426 6,137,713 18,413,140 9,206,570 4,603,285 13,809,856 6,904,928 3,452,464 1,726,232 863,116 431,558 215,779 647,338 323,669 971,008 485,504 242,752 121,376 60,688 30,344 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901

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