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Atlas › Integer Profiles › Node 8,094,212

8,094,212

22 × 72 × 61 × 677
Abundant Even Composite

8,094,212 factors as 2^2 × 7^2 × 61 × 677. Its 36 positive divisors give a proper-divisor sum of 8,678,152, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 61 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,772,364
Proper Divisor Sum 8,678,152
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8094211 ← → #8094223

Radix Representation

Decimal 8094212
Binary 11110111000001000000100 (23 bits)
Octal 0o36701004
Hexadecimal 0x7B8204

Divisor Catalog (36)

1 2 4 7 14 28 49 61 98 122 196 244 427 677 854 1,354 1,708 2,708 2,989 4,739 5,978 9,478 11,956 18,956 33,173 41,297 66,346 82,594 132,692 165,188 289,079 578,158 1,156,316 2,023,553 4,047,106 8,094,212

Collatz Trajectory (124 steps to reach 1)

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

8,094,212 4,047,106 2,023,553 6,070,660 3,035,330 1,517,665 4,552,996 2,276,498 1,138,249 3,414,748 1,707,374 853,687 2,561,062 1,280,531 3,841,594 1,920,797 5,762,392 2,881,196 1,440,598 720,299 2,160,898 1,080,449 3,241,348 1,620,674 810,337 2,431,012 1,215,506 607,753 1,823,260 911,630 455,815 1,367,446 683,723 2,051,170 1,025,585 3,076,756 1,538,378 769,189 2,307,568 1,153,784 576,892 288,446 144,223 432,670 216,335 649,006 324,503 973,510 486,755 1,460,266 730,133 2,190,400 1,095,200 547,600 273,800 136,900 68,450 34,225 102,676 51,338

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