λ
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3,671,264

25 × 47 × 2441
Abundant Even Composite

3,671,264 factors as 2^5 × 47 × 2441. Its 24 positive divisors give a proper-divisor sum of 3,713,344, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^5 × 47 × 2441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,384,608
Proper Divisor Sum 3,713,344
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3671231 ← → #3671267

Radix Representation

Decimal 3671264
Binary 1110000000010011100000 (22 bits)
Octal 0o16002340
Hexadecimal 0x3804E0

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 376 752 1,504 2,441 4,882 9,764 19,528 39,056 78,112 114,727 229,454 458,908 917,816 1,835,632 3,671,264

Collatz Trajectory (110 steps to reach 1)

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

3,671,264 1,835,632 917,816 458,908 229,454 114,727 344,182 172,091 516,274 258,137 774,412 387,206 193,603 580,810 290,405 871,216 435,608 217,804 108,902 54,451 163,354 81,677 245,032 122,516 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883

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