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Atlas › Integer Profiles › Node 3,731,228

3,731,228

22 × 17 × 37 × 1483
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17 × 37 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,105,392
Proper Divisor Sum 3,374,164
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3731213 ← → #3731237

Radix Representation

Decimal 3731228
Binary 1110001110111100011100 (22 bits)
Octal 0o16167434
Hexadecimal 0x38EF1C

Divisor Catalog (24)

1 2 4 17 34 37 68 74 148 629 1,258 1,483 2,516 2,966 5,932 25,211 50,422 54,871 100,844 109,742 219,484 932,807 1,865,614 3,731,228

Collatz Trajectory (309 steps to reach 1)

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

3,731,228 1,865,614 932,807 2,798,422 1,399,211 4,197,634 2,098,817 6,296,452 3,148,226 1,574,113 4,722,340 2,361,170 1,180,585 3,541,756 1,770,878 885,439 2,656,318 1,328,159 3,984,478 1,992,239 5,976,718 2,988,359 8,965,078 4,482,539 13,447,618 6,723,809 20,171,428 10,085,714 5,042,857 15,128,572 7,564,286 3,782,143 11,346,430 5,673,215 17,019,646 8,509,823 25,529,470 12,764,735 38,294,206 19,147,103 57,441,310 28,720,655 86,161,966 43,080,983 129,242,950 64,621,475 193,864,426 96,932,213 290,796,640 145,398,320 72,699,160 36,349,580 18,174,790 9,087,395 27,262,186 13,631,093 40,893,280 20,446,640 10,223,320 5,111,660

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