λ
Sigma Notebook

8,791,608

23 × 3 × 7 × 43 × 1217
Abundant Even Composite

8,791,608 is even and not a perfect square. Its factorization is 2^3 × 3 × 7 × 43 × 1217 and its 64 divisors sum to 25,724,160.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 43 × 1217
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,724,160
Proper Divisor Sum 16,932,552
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8791603 ← → #8791637

Radix Representation

Decimal 8791608
Binary 100001100010011000111000 (24 bits)
Octal 0o41423070
Hexadecimal 0x862638

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1,032 1,204 1,217 1,806 2,408 2,434 3,612 3,651 4,868 7,224 7,302 8,519 9,736 14,604 17,038 25,557 29,208 34,076 51,114 52,331 68,152 102,228 104,662 156,993 204,456 209,324 313,986 366,317 418,648 627,972 732,634 1,098,951 1,255,944 1,465,268

Collatz Trajectory (181 steps to reach 1)

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

8,791,608 4,395,804 2,197,902 1,098,951 3,296,854 1,648,427 4,945,282 2,472,641 7,417,924 3,708,962 1,854,481 5,563,444 2,781,722 1,390,861 4,172,584 2,086,292 1,043,146 521,573 1,564,720 782,360 391,180 195,590 97,795 293,386 146,693 440,080 220,040 110,020 55,010 27,505 82,516 41,258 20,629 61,888 30,944 15,472 7,736 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552

More profiles

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