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Atlas › Integer Profiles › Node 8,245,232

8,245,232

24 × 311 × 1657
Deficient Even Composite

8,245,232 factors as 2^4 × 311 × 1657. Its 20 positive divisors give a proper-divisor sum of 7,790,944, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^4 × 311 × 1657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,036,176
Proper Divisor Sum 7,790,944
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8245231 ← → #8245241

Radix Representation

Decimal 8245232
Binary 11111011100111111110000 (23 bits)
Octal 0o37347760
Hexadecimal 0x7DCFF0

Divisor Catalog (20)

1 2 4 8 16 311 622 1,244 1,657 2,488 3,314 4,976 6,628 13,256 26,512 515,327 1,030,654 2,061,308 4,122,616 8,245,232

Collatz Trajectory (217 steps to reach 1)

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

8,245,232 4,122,616 2,061,308 1,030,654 515,327 1,545,982 772,991 2,318,974 1,159,487 3,478,462 1,739,231 5,217,694 2,608,847 7,826,542 3,913,271 11,739,814 5,869,907 17,609,722 8,804,861 26,414,584 13,207,292 6,603,646 3,301,823 9,905,470 4,952,735 14,858,206 7,429,103 22,287,310 11,143,655 33,430,966 16,715,483 50,146,450 25,073,225 75,219,676 37,609,838 18,804,919 56,414,758 28,207,379 84,622,138 42,311,069 126,933,208 63,466,604 31,733,302 15,866,651 47,599,954 23,799,977 71,399,932 35,699,966 17,849,983 53,549,950 26,774,975 80,324,926 40,162,463 120,487,390 60,243,695 180,731,086 90,365,543 271,096,630 135,548,315 406,644,946

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