λ
Sigma Notebook

3,863,421

32 × 43 × 67 × 149
Deficient Odd Composite

3,863,421 is odd and not a perfect square. Its factorization is 3^2 × 43 × 67 × 149 and its 24 divisors sum to 5,834,400.

Prime Factor Structure

Factorization String 3^2 × 43 × 67 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,834,400
Proper Divisor Sum 1,970,979
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3863417 ← → #3863423

Radix Representation

Decimal 3863421
Binary 1110101111001101111101 (22 bits)
Octal 0o16571575
Hexadecimal 0x3AF37D

Divisor Catalog (24)

1 3 9 43 67 129 149 201 387 447 603 1,341 2,881 6,407 8,643 9,983 19,221 25,929 29,949 57,663 89,847 429,269 1,287,807 3,863,421

Collatz Trajectory (123 steps to reach 1)

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

3,863,421 11,590,264 5,795,132 2,897,566 1,448,783 4,346,350 2,173,175 6,519,526 3,259,763 9,779,290 4,889,645 14,668,936 7,334,468 3,667,234 1,833,617 5,500,852 2,750,426 1,375,213 4,125,640 2,062,820 1,031,410 515,705 1,547,116 773,558 386,779 1,160,338 580,169 1,740,508 870,254 435,127 1,305,382 652,691 1,958,074 979,037 2,937,112 1,468,556 734,278 367,139 1,101,418 550,709 1,652,128 826,064 413,032 206,516 103,258 51,629 154,888 77,444 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506

More profiles

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