λ
Sigma Notebook

9,215,550

2 × 32 × 52 × 20479
Abundant Even Composite

9,215,550 is even and not a perfect square. Its factorization is 2 × 3^2 × 5^2 × 20479 and its 36 divisors sum to 24,760,320.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 20479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,760,320
Proper Divisor Sum 15,544,770
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9215509 ← → #9215597

Radix Representation

Decimal 9215550
Binary 100011001001111000111110 (24 bits)
Octal 0o43117076
Hexadecimal 0x8C9E3E

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 20,479 40,958 61,437 102,395 122,874 184,311 204,790 307,185 368,622 511,975 614,370 921,555 1,023,950 1,535,925 1,843,110 3,071,850 4,607,775 9,215,550

Collatz Trajectory (225 steps to reach 1)

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

9,215,550 4,607,775 13,823,326 6,911,663 20,734,990 10,367,495 31,102,486 15,551,243 46,653,730 23,326,865 69,980,596 34,990,298 17,495,149 52,485,448 26,242,724 13,121,362 6,560,681 19,682,044 9,841,022 4,920,511 14,761,534 7,380,767 22,142,302 11,071,151 33,213,454 16,606,727 49,820,182 24,910,091 74,730,274 37,365,137 112,095,412 56,047,706 28,023,853 84,071,560 42,035,780 21,017,890 10,508,945 31,526,836 15,763,418 7,881,709 23,645,128 11,822,564 5,911,282 2,955,641 8,866,924 4,433,462 2,216,731 6,650,194 3,325,097 9,975,292 4,987,646 2,493,823 7,481,470 3,740,735 11,222,206 5,611,103 16,833,310 8,416,655 25,249,966 12,624,983

More profiles

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