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Atlas › Integer Profiles › Node 6,340,928

6,340,928

26 × 11 × 9007
Abundant Even Composite

6,340,928 factors as 2^6 × 11 × 9007. Its 28 positive divisors give a proper-divisor sum of 7,387,264, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 9007
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 13,728,192
Proper Divisor Sum 7,387,264
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6340921 ← → #6340931

Radix Representation

Decimal 6340928
Binary 11000001100000101000000 (23 bits)
Octal 0o30140500
Hexadecimal 0x60C140

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 9,007 18,014 36,028 72,056 99,077 144,112 198,154 288,224 396,308 576,448 792,616 1,585,232 3,170,464 6,340,928

Collatz Trajectory (103 steps to reach 1)

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

6,340,928 3,170,464 1,585,232 792,616 396,308 198,154 99,077 297,232 148,616 74,308 37,154 18,577 55,732 27,866 13,933 41,800 20,900 10,450 5,225 15,676 7,838 3,919 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256

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