λ
Sigma Notebook

3,975,826

2 × 19 × 23 × 4549
Deficient Even Composite

3,975,826 is even and not a perfect square. Its factorization is 2 × 19 × 23 × 4549 and its 16 divisors sum to 6,552,000.

Prime Factor Structure

Factorization String 2 × 19 × 23 × 4549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,552,000
Proper Divisor Sum 2,576,174
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3975791 ← → #3975827

Radix Representation

Decimal 3975826
Binary 1111001010101010010010 (22 bits)
Octal 0o17125222
Hexadecimal 0x3CAA92

Divisor Catalog (16)

1 2 19 23 38 46 437 874 4,549 9,098 86,431 104,627 172,862 209,254 1,987,913 3,975,826

Collatz Trajectory (123 steps to reach 1)

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

3,975,826 1,987,913 5,963,740 2,981,870 1,490,935 4,472,806 2,236,403 6,709,210 3,354,605 10,063,816 5,031,908 2,515,954 1,257,977 3,773,932 1,886,966 943,483 2,830,450 1,415,225 4,245,676 2,122,838 1,061,419 3,184,258 1,592,129 4,776,388 2,388,194 1,194,097 3,582,292 1,791,146 895,573 2,686,720 1,343,360 671,680 335,840 167,920 83,960 41,980 20,990 10,495 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219

More profiles

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