λ
Prime Ledger

9,424,089

32 × 23 × 53 × 859
Deficient Odd Composite

9,424,089 has the prime decomposition 3^2 × 23 × 53 × 859. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 53 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,489,280
Proper Divisor Sum 5,065,191
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9424049 ← → #9424091

Radix Representation

Decimal 9424089
Binary 100011111100110011011001 (24 bits)
Octal 0o43746331
Hexadecimal 0x8FCCD9

Divisor Catalog (24)

1 3 9 23 53 69 159 207 477 859 1,219 2,577 3,657 7,731 10,971 19,757 45,527 59,271 136,581 177,813 409,743 1,047,121 3,141,363 9,424,089

Collatz Trajectory (132 steps to reach 1)

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

9,424,089 28,272,268 14,136,134 7,068,067 21,204,202 10,602,101 31,806,304 15,903,152 7,951,576 3,975,788 1,987,894 993,947 2,981,842 1,490,921 4,472,764 2,236,382 1,118,191 3,354,574 1,677,287 5,031,862 2,515,931 7,547,794 3,773,897 11,321,692 5,660,846 2,830,423 8,491,270 4,245,635 12,736,906 6,368,453 19,105,360 9,552,680 4,776,340 2,388,170 1,194,085 3,582,256 1,791,128 895,564 447,782 223,891 671,674 335,837 1,007,512 503,756 251,878 125,939 377,818 188,909 566,728 283,364 141,682 70,841 212,524 106,262 53,131 159,394 79,697 239,092 119,546 59,773

More profiles

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