λ
Sigma Notebook

8,745,198

2 × 3 × 7 × 11 × 23 × 823
Abundant Even Composite

8,745,198 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 11 × 23 × 823 and its 64 divisors sum to 22,781,952.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 23 × 823
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,781,952
Proper Divisor Sum 14,036,754
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8745169 ← → #8745199

Radix Representation

Decimal 8745198
Binary 100001010111000011101110 (24 bits)
Octal 0o41270356
Hexadecimal 0x8570EE

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 823 966 1,518 1,646 1,771 2,469 3,542 4,938 5,313 5,761 9,053 10,626 11,522 17,283 18,106 18,929 27,159 34,566 37,858 54,318 56,787 63,371 113,574 126,742 132,503 190,113 208,219 265,006 380,226 397,509 416,438 624,657 795,018 1,249,314

Collatz Trajectory (150 steps to reach 1)

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

8,745,198 4,372,599 13,117,798 6,558,899 19,676,698 9,838,349 29,515,048 14,757,524 7,378,762 3,689,381 11,068,144 5,534,072 2,767,036 1,383,518 691,759 2,075,278 1,037,639 3,112,918 1,556,459 4,669,378 2,334,689 7,004,068 3,502,034 1,751,017 5,253,052 2,626,526 1,313,263 3,939,790 1,969,895 5,909,686 2,954,843 8,864,530 4,432,265 13,296,796 6,648,398 3,324,199 9,972,598 4,986,299 14,958,898 7,479,449 22,438,348 11,219,174 5,609,587 16,828,762 8,414,381 25,243,144 12,621,572 6,310,786 3,155,393 9,466,180 4,733,090 2,366,545 7,099,636 3,549,818 1,774,909 5,324,728 2,662,364 1,331,182 665,591 1,996,774

More profiles

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