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Atlas › Integer Profiles › Node 6,867,896

6,867,896

23 × 7 × 29 × 4229
Abundant Even Composite

6,867,896 factors as 2^3 × 7 × 29 × 4229. Its 32 positive divisors give a proper-divisor sum of 8,360,104, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 4229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,228,000
Proper Divisor Sum 8,360,104
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #6867871 ← → #6867907

Radix Representation

Decimal 6867896
Binary 11010001100101110111000 (23 bits)
Octal 0o32145670
Hexadecimal 0x68CBB8

Divisor Catalog (32)

1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1,624 4,229 8,458 16,916 29,603 33,832 59,206 118,412 122,641 236,824 245,282 490,564 858,487 981,128 1,716,974 3,433,948 6,867,896

Collatz Trajectory (160 steps to reach 1)

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

6,867,896 3,433,948 1,716,974 858,487 2,575,462 1,287,731 3,863,194 1,931,597 5,794,792 2,897,396 1,448,698 724,349 2,173,048 1,086,524 543,262 271,631 814,894 407,447 1,222,342 611,171 1,833,514 916,757 2,750,272 1,375,136 687,568 343,784 171,892 85,946 42,973 128,920 64,460 32,230 16,115 48,346 24,173 72,520 36,260 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576

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