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Atlas › Integer Profiles › Node 6,899,992

6,899,992

23 × 11 × 89 × 881
Abundant Even Composite

6,899,992 factors as 2^3 × 11 × 89 × 881. Its 32 positive divisors give a proper-divisor sum of 7,388,408, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 89 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,288,400
Proper Divisor Sum 7,388,408
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #6899989 ← → #6900001

Radix Representation

Decimal 6899992
Binary 11010010100100100011000 (23 bits)
Octal 0o32244430
Hexadecimal 0x694918

Divisor Catalog (32)

1 2 4 8 11 22 44 88 89 178 356 712 881 979 1,762 1,958 3,524 3,916 7,048 7,832 9,691 19,382 38,764 77,528 78,409 156,818 313,636 627,272 862,499 1,724,998 3,449,996 6,899,992

Collatz Trajectory (222 steps to reach 1)

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

6,899,992 3,449,996 1,724,998 862,499 2,587,498 1,293,749 3,881,248 1,940,624 970,312 485,156 242,578 121,289 363,868 181,934 90,967 272,902 136,451 409,354 204,677 614,032 307,016 153,508 76,754 38,377 115,132 57,566 28,783 86,350 43,175 129,526 64,763 194,290 97,145 291,436 145,718 72,859 218,578 109,289 327,868 163,934 81,967 245,902 122,951 368,854 184,427 553,282 276,641 829,924 414,962 207,481 622,444 311,222 155,611 466,834 233,417 700,252 350,126 175,063 525,190 262,595

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