λ
Sigma Notebook

6,421,446

2 × 32 × 179 × 1993
Abundant Even Composite

6,421,446 is even and not a perfect square. Its factorization is 2 × 3^2 × 179 × 1993 and its 24 divisors sum to 13,997,880.

Prime Factor Structure

Factorization String 2 × 3^2 × 179 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,997,880
Proper Divisor Sum 7,576,434
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6421421 ← → #6421477

Radix Representation

Decimal 6421446
Binary 11000011111101111000110 (23 bits)
Octal 0o30375706
Hexadecimal 0x61FBC6

Divisor Catalog (24)

1 2 3 6 9 18 179 358 537 1,074 1,611 1,993 3,222 3,986 5,979 11,958 17,937 35,874 356,747 713,494 1,070,241 2,140,482 3,210,723 6,421,446

Collatz Trajectory (121 steps to reach 1)

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

6,421,446 3,210,723 9,632,170 4,816,085 14,448,256 7,224,128 3,612,064 1,806,032 903,016 451,508 225,754 112,877 338,632 169,316 84,658 42,329 126,988 63,494 31,747 95,242 47,621 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133

More profiles

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