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Atlas › Integer Profiles › Node 8,978,634

8,978,634

2 × 33 × 7 × 23753
Abundant Even Composite

8,978,634 factors as 2 × 3^3 × 7 × 23753. Its 32 positive divisors give a proper-divisor sum of 13,825,206, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 23753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,803,840
Proper Divisor Sum 13,825,206
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8978633 ← → #8978639

Radix Representation

Decimal 8978634
Binary 100010010000000011001010 (24 bits)
Octal 0o42200312
Hexadecimal 0x8900CA

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 23,753 47,506 71,259 142,518 166,271 213,777 332,542 427,554 498,813 641,331 997,626 1,282,662 1,496,439 2,992,878 4,489,317 8,978,634

Collatz Trajectory (243 steps to reach 1)

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

8,978,634 4,489,317 13,467,952 6,733,976 3,366,988 1,683,494 841,747 2,525,242 1,262,621 3,787,864 1,893,932 946,966 473,483 1,420,450 710,225 2,130,676 1,065,338 532,669 1,598,008 799,004 399,502 199,751 599,254 299,627 898,882 449,441 1,348,324 674,162 337,081 1,011,244 505,622 252,811 758,434 379,217 1,137,652 568,826 284,413 853,240 426,620 213,310 106,655 319,966 159,983 479,950 239,975 719,926 359,963 1,079,890 539,945 1,619,836 809,918 404,959 1,214,878 607,439 1,822,318 911,159 2,733,478 1,366,739 4,100,218 2,050,109

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