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Atlas › Integer Profiles › Node 8,094,906

8,094,906

2 × 32 × 31 × 89 × 163
Abundant Even Composite

8,094,906 factors as 2 × 3^2 × 31 × 89 × 163. Its 48 positive divisors give a proper-divisor sum of 10,325,574, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 89 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,420,480
Proper Divisor Sum 10,325,574
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8094901 ← → #8094929

Radix Representation

Decimal 8094906
Binary 11110111000010010111010 (23 bits)
Octal 0o36702272
Hexadecimal 0x7B84BA

Divisor Catalog (48)

1 2 3 6 9 18 31 62 89 93 163 178 186 267 279 326 489 534 558 801 978 1,467 1,602 2,759 2,934 5,053 5,518 8,277 10,106 14,507 15,159 16,554 24,831 29,014 30,318 43,521 45,477 49,662 87,042 90,954 130,563 261,126 449,717 899,434 1,349,151 2,698,302 4,047,453 8,094,906

Collatz Trajectory (199 steps to reach 1)

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

8,094,906 4,047,453 12,142,360 6,071,180 3,035,590 1,517,795 4,553,386 2,276,693 6,830,080 3,415,040 1,707,520 853,760 426,880 213,440 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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