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Atlas › Integer Profiles › Node 5,676,992

5,676,992

26 × 107 × 829
Abundant Even Composite

5,676,992 factors as 2^6 × 107 × 829. Its 28 positive divisors give a proper-divisor sum of 5,707,288, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^6 × 107 × 829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 11,384,280
Proper Divisor Sum 5,707,288
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5676973 ← → #5677003

Radix Representation

Decimal 5676992
Binary 10101101001111111000000 (23 bits)
Octal 0o25517700
Hexadecimal 0x569FC0

Divisor Catalog (28)

1 2 4 8 16 32 64 107 214 428 829 856 1,658 1,712 3,316 3,424 6,632 6,848 13,264 26,528 53,056 88,703 177,406 354,812 709,624 1,419,248 2,838,496 5,676,992

Collatz Trajectory (126 steps to reach 1)

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

5,676,992 2,838,496 1,419,248 709,624 354,812 177,406 88,703 266,110 133,055 399,166 199,583 598,750 299,375 898,126 449,063 1,347,190 673,595 2,020,786 1,010,393 3,031,180 1,515,590 757,795 2,273,386 1,136,693 3,410,080 1,705,040 852,520 426,260 213,130 106,565 319,696 159,848 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167

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