λ
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3,691,648

27 × 151 × 191
Abundant Even Composite

3,691,648 factors as 2^7 × 151 × 191. Its 32 positive divisors give a proper-divisor sum of 3,750,272, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^7 × 151 × 191
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,441,920
Proper Divisor Sum 3,750,272
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3691627 ← → #3691657

Radix Representation

Decimal 3691648
Binary 1110000101010010000000 (22 bits)
Octal 0o16052200
Hexadecimal 0x385480

Divisor Catalog (32)

1 2 4 8 16 32 64 128 151 191 302 382 604 764 1,208 1,528 2,416 3,056 4,832 6,112 9,664 12,224 19,328 24,448 28,841 57,682 115,364 230,728 461,456 922,912 1,845,824 3,691,648

Collatz Trajectory (164 steps to reach 1)

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

3,691,648 1,845,824 922,912 461,456 230,728 115,364 57,682 28,841 86,524 43,262 21,631 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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