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8,523,918

2 × 32 × 13 × 73 × 499
Abundant Even Composite

8,523,918 factors as 2 × 3^2 × 13 × 73 × 499. Its 48 positive divisors give a proper-divisor sum of 11,678,082, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 73 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,202,000
Proper Divisor Sum 11,678,082
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8523917 ← → #8523959

Radix Representation

Decimal 8523918
Binary 100000100001000010001110 (24 bits)
Octal 0o40410216
Hexadecimal 0x82108E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 499 657 949 998 1,314 1,497 1,898 2,847 2,994 4,491 5,694 6,487 8,541 8,982 12,974 17,082 19,461 36,427 38,922 58,383 72,854 109,281 116,766 218,562 327,843 473,551 655,686 947,102 1,420,653 2,841,306 4,261,959 8,523,918

Collatz Trajectory (199 steps to reach 1)

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

8,523,918 4,261,959 12,785,878 6,392,939 19,178,818 9,589,409 28,768,228 14,384,114 7,192,057 21,576,172 10,788,086 5,394,043 16,182,130 8,091,065 24,273,196 12,136,598 6,068,299 18,204,898 9,102,449 27,307,348 13,653,674 6,826,837 20,480,512 10,240,256 5,120,128 2,560,064 1,280,032 640,016 320,008 160,004 80,002 40,001 120,004 60,002 30,001 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016

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