λ
Sigma Notebook

8,468,864

27 × 109 × 607
Abundant Even Composite

8,468,864 is even and not a perfect square. Its factorization is 2^7 × 109 × 607 and its 32 divisors sum to 17,054,400.

Prime Factor Structure

Factorization String 2^7 × 109 × 607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,054,400
Proper Divisor Sum 8,585,536
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8468861 ← → #8468897

Radix Representation

Decimal 8468864
Binary 100000010011100110000000 (24 bits)
Octal 0o40234600
Hexadecimal 0x813980

Divisor Catalog (32)

1 2 4 8 16 32 64 109 128 218 436 607 872 1,214 1,744 2,428 3,488 4,856 6,976 9,712 13,952 19,424 38,848 66,163 77,696 132,326 264,652 529,304 1,058,608 2,117,216 4,234,432 8,468,864

Collatz Trajectory (80 steps to reach 1)

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

8,468,864 4,234,432 2,117,216 1,058,608 529,304 264,652 132,326 66,163 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493

More profiles

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