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3,691,712

26 × 37 × 1559
Abundant Even Composite

3,691,712 factors as 2^6 × 37 × 1559. Its 28 positive divisors give a proper-divisor sum of 3,836,848, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^6 × 37 × 1559
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,528,560
Proper Divisor Sum 3,836,848
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3691693 ← → #3691717

Radix Representation

Decimal 3691712
Binary 1110000101010011000000 (22 bits)
Octal 0o16052300
Hexadecimal 0x3854C0

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 296 592 1,184 1,559 2,368 3,118 6,236 12,472 24,944 49,888 57,683 99,776 115,366 230,732 461,464 922,928 1,845,856 3,691,712

Collatz Trajectory (164 steps to reach 1)

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

3,691,712 1,845,856 922,928 461,464 230,732 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444 31,222 15,611 46,834 23,417

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