λ
Sigma Notebook

9,136,098

2 × 33 × 367 × 461
Abundant Even Composite

9,136,098 is even and not a perfect square. Its factorization is 2 × 3^3 × 367 × 461 and its 32 divisors sum to 20,401,920.

Prime Factor Structure

Factorization String 2 × 3^3 × 367 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,401,920
Proper Divisor Sum 11,265,822
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9136079 ← → #9136109

Radix Representation

Decimal 9136098
Binary 100010110110011111100010 (24 bits)
Octal 0o42663742
Hexadecimal 0x8B67E2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 367 461 734 922 1,101 1,383 2,202 2,766 3,303 4,149 6,606 8,298 9,909 12,447 19,818 24,894 169,187 338,374 507,561 1,015,122 1,522,683 3,045,366 4,568,049 9,136,098

Collatz Trajectory (225 steps to reach 1)

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

9,136,098 4,568,049 13,704,148 6,852,074 3,426,037 10,278,112 5,139,056 2,569,528 1,284,764 642,382 321,191 963,574 481,787 1,445,362 722,681 2,168,044 1,084,022 542,011 1,626,034 813,017 2,439,052 1,219,526 609,763 1,829,290 914,645 2,743,936 1,371,968 685,984 342,992 171,496 85,748 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732

More profiles

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