λ
Integer Codex

9,631,344

24 × 3 × 163 × 1231
Abundant Even Composite

For 9,631,344, the 40 positive divisors have a total of 25,053,952. Removing 9,631,344 leaves 15,422,608, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 163 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,053,952
Proper Divisor Sum 15,422,608
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9631331 ← → #9631357

Radix Representation

Decimal 9631344
Binary 100100101111011001110000 (24 bits)
Octal 0o44573160
Hexadecimal 0x92F670

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1,231 1,304 1,956 2,462 2,608 3,693 3,912 4,924 7,386 7,824 9,848 14,772 19,696 29,544 59,088 200,653 401,306 601,959 802,612 1,203,918 1,605,224 2,407,836 3,210,448 4,815,672 9,631,344

Collatz Trajectory (375 steps to reach 1)

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

9,631,344 4,815,672 2,407,836 1,203,918 601,959 1,805,878 902,939 2,708,818 1,354,409 4,063,228 2,031,614 1,015,807 3,047,422 1,523,711 4,571,134 2,285,567 6,856,702 3,428,351 10,285,054 5,142,527 15,427,582 7,713,791 23,141,374 11,570,687 34,712,062 17,356,031 52,068,094 26,034,047 78,102,142 39,051,071 117,153,214 58,576,607 175,729,822 87,864,911 263,594,734 131,797,367 395,392,102 197,696,051 593,088,154 296,544,077 889,632,232 444,816,116 222,408,058 111,204,029 333,612,088 166,806,044 83,403,022 41,701,511 125,104,534 62,552,267 187,656,802 93,828,401 281,485,204 140,742,602 70,371,301 211,113,904 105,556,952 52,778,476 26,389,238 13,194,619

More profiles

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