2,252,005

5 × 7 × 37² × 47

2,252,005 factors as 5 × 7 × 37^2 × 47. Its 24 positive divisors give a proper-divisor sum of 989,723, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 5 × 7 × 37^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,241,728

Proper Divisor Sum 989,723

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2251993 ← → #2252009

Radix Representation

Decimal	2252005
Binary	1000100101110011100101 (22 bits)
Octal	0o10456345
Hexadecimal	0x225CE5

Divisor Catalog (24)

Collatz Trajectory (135 steps to reach 1)

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

2,252,005 6,756,016 3,378,008 1,689,004 844,502 422,251 1,266,754 633,377 1,900,132 950,066 475,033 1,425,100 712,550 356,275 1,068,826 534,413 1,603,240 801,620 400,810 200,405 601,216 300,608 150,304 75,152 37,576 18,788 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308

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