λ
Ratio Atlas

8,326,704

24 × 3 × 173473
Abundant Even Composite

8,326,704 factors as 2^4 × 3 × 173473. Its 20 positive divisors give a proper-divisor sum of 13,184,072, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 173473
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 21,510,776
Proper Divisor Sum 13,184,072
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8326697 ← → #8326711

Radix Representation

Decimal 8326704
Binary 11111110000111000110000 (23 bits)
Octal 0o37607060
Hexadecimal 0x7F0E30

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 173,473 346,946 520,419 693,892 1,040,838 1,387,784 2,081,676 2,775,568 4,163,352 8,326,704

Collatz Trajectory (137 steps to reach 1)

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

8,326,704 4,163,352 2,081,676 1,040,838 520,419 1,561,258 780,629 2,341,888 1,170,944 585,472 292,736 146,368 73,184 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807

More profiles

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