λ
Sigma Notebook

9,367,578

2 × 32 × 113 × 17 × 23
Abundant Even Composite

9,367,578 is even and not a perfect square. Its factorization is 2 × 3^2 × 11^3 × 17 × 23 and its 96 divisors sum to 24,665,472.

Prime Factor Structure

Factorization String 2 × 3^2 × 11^3 × 17 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 24,665,472
Proper Divisor Sum 15,297,894
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9367577 ← → #9367597

Radix Representation

Decimal 9367578
Binary 100011101111000000011010 (24 bits)
Octal 0o43570032
Hexadecimal 0x8EF01A

Divisor Catalog (60 of 96)

1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 121 138 153 187 198 207 242 253 306 363 374 391 414 506 561 726 759 782 1,089 1,122 1,173 1,331 1,518 1,683 2,057 2,178 2,277 2,346 2,662 2,783 3,366 3,519 3,993 4,114 4,301 4,554 5,566 6,171 7,038 7,986 8,349 8,602

Collatz Trajectory (75 steps to reach 1)

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

9,367,578 4,683,789 14,051,368 7,025,684 3,512,842 1,756,421 5,269,264 2,634,632 1,317,316 658,658 329,329 987,988 493,994 246,997 740,992 370,496 185,248 92,624 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46

More profiles

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