λ
Sigma Notebook

8,020,976

24 × 491 × 1021
Deficient Even Composite

8,020,976 is even and not a perfect square. Its factorization is 2^4 × 491 × 1021 and its 20 divisors sum to 15,587,544.

Prime Factor Structure

Factorization String 2^4 × 491 × 1021
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,587,544
Proper Divisor Sum 7,566,568
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8020963 ← → #8020981

Radix Representation

Decimal 8020976
Binary 11110100110001111110000 (23 bits)
Octal 0o36461760
Hexadecimal 0x7A63F0

Divisor Catalog (20)

1 2 4 8 16 491 982 1,021 1,964 2,042 3,928 4,084 7,856 8,168 16,336 501,311 1,002,622 2,005,244 4,010,488 8,020,976

Collatz Trajectory (116 steps to reach 1)

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

8,020,976 4,010,488 2,005,244 1,002,622 501,311 1,503,934 751,967 2,255,902 1,127,951 3,383,854 1,691,927 5,075,782 2,537,891 7,613,674 3,806,837 11,420,512 5,710,256 2,855,128 1,427,564 713,782 356,891 1,070,674 535,337 1,606,012 803,006 401,503 1,204,510 602,255 1,806,766 903,383 2,710,150 1,355,075 4,065,226 2,032,613 6,097,840 3,048,920 1,524,460 762,230 381,115 1,143,346 571,673 1,715,020 857,510 428,755 1,286,266 643,133 1,929,400 964,700 482,350 241,175 723,526 361,763 1,085,290 542,645 1,627,936 813,968 406,984 203,492 101,746 50,873

More profiles

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