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6,825,152

26 × 47 × 2269
Abundant Even Composite

6,825,152 factors as 2^6 × 47 × 2269. Its 28 positive divisors give a proper-divisor sum of 7,012,768, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^6 × 47 × 2269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 13,837,920
Proper Divisor Sum 7,012,768
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6825151 ← → #6825167

Radix Representation

Decimal 6825152
Binary 11010000010010011000000 (23 bits)
Octal 0o32022300
Hexadecimal 0x6824C0

Divisor Catalog (28)

1 2 4 8 16 32 47 64 94 188 376 752 1,504 2,269 3,008 4,538 9,076 18,152 36,304 72,608 106,643 145,216 213,286 426,572 853,144 1,706,288 3,412,576 6,825,152

Collatz Trajectory (77 steps to reach 1)

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

6,825,152 3,412,576 1,706,288 853,144 426,572 213,286 106,643 319,930 159,965 479,896 239,948 119,974 59,987 179,962 89,981 269,944 134,972 67,486 33,743 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204

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