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Atlas › Integer Profiles › Node 12,433,250

12,433,250

2 × 53 × 41 × 1213
Deficient Even Composite

12,433,250 factors as 2 × 5^3 × 41 × 1213. Its 32 positive divisors give a proper-divisor sum of 11,429,134, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 41 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,862,384
Proper Divisor Sum 11,429,134
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #12433249 ← → #12433283

Radix Representation

Decimal 12433250
Binary 101111011011011101100010 (24 bits)
Octal 0o57333542
Hexadecimal 0xBDB762

Divisor Catalog (32)

1 2 5 10 25 41 50 82 125 205 250 410 1,025 1,213 2,050 2,426 5,125 6,065 10,250 12,130 30,325 49,733 60,650 99,466 151,625 248,665 303,250 497,330 1,243,325 2,486,650 6,216,625 12,433,250

Collatz Trajectory (60 steps to reach 1)

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

12,433,250 6,216,625 18,649,876 9,324,938 4,662,469 13,987,408 6,993,704 3,496,852 1,748,426 874,213 2,622,640 1,311,320 655,660 327,830 163,915 491,746 245,873 737,620 368,810 184,405 553,216 276,608 138,304 69,152 34,576 17,288 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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