λ
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Atlas › Integer Profiles › Node 3,673,792

3,673,792

26 × 137 × 419
Abundant Even Composite

3,673,792 factors as 2^6 × 137 × 419. Its 28 positive divisors give a proper-divisor sum of 3,687,128, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^6 × 137 × 419
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,360,920
Proper Divisor Sum 3,687,128
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3673781 ← → #3673793

Radix Representation

Decimal 3673792
Binary 1110000000111011000000 (22 bits)
Octal 0o16007300
Hexadecimal 0x380EC0

Divisor Catalog (28)

1 2 4 8 16 32 64 137 274 419 548 838 1,096 1,676 2,192 3,352 4,384 6,704 8,768 13,408 26,816 57,403 114,806 229,612 459,224 918,448 1,836,896 3,673,792

Collatz Trajectory (115 steps to reach 1)

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

3,673,792 1,836,896 918,448 459,224 229,612 114,806 57,403 172,210 86,105 258,316 129,158 64,579 193,738 96,869 290,608 145,304 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846

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