λ
Sigma Notebook

1,054,836

22 × 33 × 9767
Abundant Even Composite

1,054,836 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 9767 and its 24 divisors sum to 2,735,040.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 9767
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,735,040
Proper Divisor Sum 1,680,204
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1054831 ← → #1054843

Radix Representation

Decimal 1054836
Binary 100000001100001110100 (21 bits)
Octal 0o4014164
Hexadecimal 0x101874

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 9,767 19,534 29,301 39,068 58,602 87,903 117,204 175,806 263,709 351,612 527,418 1,054,836

Collatz Trajectory (103 steps to reach 1)

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

1,054,836 527,418 263,709 791,128 395,564 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698

More profiles

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