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Atlas › Integer Profiles › Node 44,946,250

44,946,250

2 × 54 × 41 × 877
Deficient Even Composite

44,946,250 factors as 2 × 5^4 × 41 × 877. Its 40 positive divisors give a proper-divisor sum of 41,454,218, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 5^4 × 41 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 86,400,468
Proper Divisor Sum 41,454,218
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #44946221 ← → #44946263

Radix Representation

Decimal 44946250
Binary 10101011011101001101001010 (26 bits)
Octal 0o253351512
Hexadecimal 0x2ADD34A

Divisor Catalog (40)

1 2 5 10 25 41 50 82 125 205 250 410 625 877 1,025 1,250 1,754 2,050 4,385 5,125 8,770 10,250 21,925 25,625 35,957 43,850 51,250 71,914 109,625 179,785 219,250 359,570 548,125 898,925 1,096,250 1,797,850 4,494,625 8,989,250 22,473,125 44,946,250

Collatz Trajectory (160 steps to reach 1)

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

44,946,250 22,473,125 67,419,376 33,709,688 16,854,844 8,427,422 4,213,711 12,641,134 6,320,567 18,961,702 9,480,851 28,442,554 14,221,277 42,663,832 21,331,916 10,665,958 5,332,979 15,998,938 7,999,469 23,998,408 11,999,204 5,999,602 2,999,801 8,999,404 4,499,702 2,249,851 6,749,554 3,374,777 10,124,332 5,062,166 2,531,083 7,593,250 3,796,625 11,389,876 5,694,938 2,847,469 8,542,408 4,271,204 2,135,602 1,067,801 3,203,404 1,601,702 800,851 2,402,554 1,201,277 3,603,832 1,801,916 900,958 450,479 1,351,438 675,719 2,027,158 1,013,579 3,040,738 1,520,369 4,561,108 2,280,554 1,140,277 3,420,832 1,710,416

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