3,836,442

2 × 3 × 19 × 73 × 461

3,836,442 has digital root 3. The neighboring primes are 3836431 and 3836449; its proper-divisor sum differs from the starting integer by 532,236.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 73 × 461

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,205,120

Proper Divisor Sum 4,368,678

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3836431 ← → #3836449

Radix Representation

Decimal	3836442
Binary	1110101000101000011010 (22 bits)
Octal	0o16505032
Hexadecimal	0x3A8A1A

Divisor Catalog (32)

1 2 3 6 19 38 57 73 114 146 219 438 461 922 1,383 1,387 2,766 2,774 4,161 8,322 8,759 17,518 26,277 33,653 52,554 67,306 100,959 201,918 639,407 1,278,814 1,918,221 3,836,442

Collatz Trajectory (278 steps to reach 1)

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

3,836,442 1,918,221 5,754,664 2,877,332 1,438,666 719,333 2,158,000 1,079,000 539,500 269,750 134,875 404,626 202,313 606,940 303,470 151,735 455,206 227,603 682,810 341,405 1,024,216 512,108 256,054 128,027 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142 324,071 972,214 486,107 1,458,322 729,161 2,187,484 1,093,742 546,871 1,640,614 820,307 2,460,922 1,230,461 3,691,384 1,845,692 922,846 461,423 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908

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