λ
Zalai Atlas

9,204,642

2 × 32 × 269 × 1901
Abundant Even Composite

9,204,642 has the prime decomposition 2 × 3^2 × 269 × 1901. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 269 × 1901
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,028,060
Proper Divisor Sum 10,823,418
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9204593 ← → #9204659

Radix Representation

Decimal 9204642
Binary 100011000111001110100010 (24 bits)
Octal 0o43071642
Hexadecimal 0x8C73A2

Divisor Catalog (24)

1 2 3 6 9 18 269 538 807 1,614 1,901 2,421 3,802 4,842 5,703 11,406 17,109 34,218 511,369 1,022,738 1,534,107 3,068,214 4,602,321 9,204,642

Collatz Trajectory (106 steps to reach 1)

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

9,204,642 4,602,321 13,806,964 6,903,482 3,451,741 10,355,224 5,177,612 2,588,806 1,294,403 3,883,210 1,941,605 5,824,816 2,912,408 1,456,204 728,102 364,051 1,092,154 546,077 1,638,232 819,116 409,558 204,779 614,338 307,169 921,508 460,754 230,377 691,132 345,566 172,783 518,350 259,175 777,526 388,763 1,166,290 583,145 1,749,436 874,718 437,359 1,312,078 656,039 1,968,118 984,059 2,952,178 1,476,089 4,428,268 2,214,134 1,107,067 3,321,202 1,660,601 4,981,804 2,490,902 1,245,451 3,736,354 1,868,177 5,604,532 2,802,266 1,401,133 4,203,400 2,101,700

More profiles

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