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Atlas › Integer Profiles › Node 3,673,904

3,673,904

24 × 13 × 17 × 1039
Abundant Even Composite

3,673,904 factors as 2^4 × 13 × 17 × 1039. Its 40 positive divisors give a proper-divisor sum of 4,450,576, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 17 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,124,480
Proper Divisor Sum 4,450,576
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3673867 ← → #3673919

Radix Representation

Decimal 3673904
Binary 1110000000111100110000 (22 bits)
Octal 0o16007460
Hexadecimal 0x380F30

Divisor Catalog (40)

1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1,039 1,768 2,078 3,536 4,156 8,312 13,507 16,624 17,663 27,014 35,326 54,028 70,652 108,056 141,304 216,112 229,619 282,608 459,238 918,476 1,836,952 3,673,904

Collatz Trajectory (172 steps to reach 1)

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

3,673,904 1,836,952 918,476 459,238 229,619 688,858 344,429 1,033,288 516,644 258,322 129,161 387,484 193,742 96,871 290,614 145,307 435,922 217,961 653,884 326,942 163,471 490,414 245,207 735,622 367,811 1,103,434 551,717 1,655,152 827,576 413,788 206,894 103,447 310,342 155,171 465,514 232,757 698,272 349,136 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308

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