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3,326,656

26 × 59 × 881
Abundant Even Composite

3,326,656 factors as 2^6 × 59 × 881. Its 28 positive divisors give a proper-divisor sum of 3,394,184, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^6 × 59 × 881
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,720,840
Proper Divisor Sum 3,394,184
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3326629 ← → #3326663

Radix Representation

Decimal 3326656
Binary 1100101100001011000000 (22 bits)
Octal 0o14541300
Hexadecimal 0x32C2C0

Divisor Catalog (28)

1 2 4 8 16 32 59 64 118 236 472 881 944 1,762 1,888 3,524 3,776 7,048 14,096 28,192 51,979 56,384 103,958 207,916 415,832 831,664 1,663,328 3,326,656

Collatz Trajectory (208 steps to reach 1)

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

3,326,656 1,663,328 831,664 415,832 207,916 103,958 51,979 155,938 77,969 233,908 116,954 58,477 175,432 87,716 43,858 21,929 65,788 32,894 16,447 49,342 24,671 74,014 37,007 111,022 55,511 166,534 83,267 249,802 124,901 374,704 187,352 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064 75,032 37,516 18,758 9,379 28,138 14,069 42,208 21,104

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