λ
Prime Ledger

9,181,240

23 × 5 × 89 × 2579
Abundant Even Composite

9,181,240 has the prime decomposition 2^3 × 5 × 89 × 2579. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 89 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,898,000
Proper Divisor Sum 11,716,760
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9181219 ← → #9181247

Radix Representation

Decimal 9181240
Binary 100011000001100000111000 (24 bits)
Octal 0o43014070
Hexadecimal 0x8C1838

Divisor Catalog (32)

1 2 4 5 8 10 20 40 89 178 356 445 712 890 1,780 2,579 3,560 5,158 10,316 12,895 20,632 25,790 51,580 103,160 229,531 459,062 918,124 1,147,655 1,836,248 2,295,310 4,590,620 9,181,240

Collatz Trajectory (287 steps to reach 1)

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

9,181,240 4,590,620 2,295,310 1,147,655 3,442,966 1,721,483 5,164,450 2,582,225 7,746,676 3,873,338 1,936,669 5,810,008 2,905,004 1,452,502 726,251 2,178,754 1,089,377 3,268,132 1,634,066 817,033 2,451,100 1,225,550 612,775 1,838,326 919,163 2,757,490 1,378,745 4,136,236 2,068,118 1,034,059 3,102,178 1,551,089 4,653,268 2,326,634 1,163,317 3,489,952 1,744,976 872,488 436,244 218,122 109,061 327,184 163,592 81,796 40,898 20,449 61,348 30,674 15,337 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238

More profiles

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