λ
Sigma Notebook

8,229,696

26 × 3 × 42863
Abundant Even Composite

8,229,696 is even and not a perfect square. Its factorization is 2^6 × 3 × 42863 and its 28 divisors sum to 21,774,912.

Prime Factor Structure

Factorization String 2^6 × 3 × 42863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 21,774,912
Proper Divisor Sum 13,545,216
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8229631 ← → #8229701

Radix Representation

Decimal 8229696
Binary 11111011001001101000000 (23 bits)
Octal 0o37311500
Hexadecimal 0x7D9340

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 42,863 85,726 128,589 171,452 257,178 342,904 514,356 685,808 1,028,712 1,371,616 2,057,424 2,743,232 4,114,848 8,229,696

Collatz Trajectory (199 steps to reach 1)

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

8,229,696 4,114,848 2,057,424 1,028,712 514,356 257,178 128,589 385,768 192,884 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707

More profiles

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