λ
Sigma Notebook

9,132,906

2 × 3 × 199 × 7649
Abundant Even Composite

9,132,906 is even and not a perfect square. Its factorization is 2 × 3 × 199 × 7649 and its 16 divisors sum to 18,360,000.

Prime Factor Structure

Factorization String 2 × 3 × 199 × 7649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,360,000
Proper Divisor Sum 9,227,094
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9132889 ← → #9132917

Radix Representation

Decimal 9132906
Binary 100010110101101101101010 (24 bits)
Octal 0o42655552
Hexadecimal 0x8B5B6A

Divisor Catalog (16)

1 2 3 6 199 398 597 1,194 7,649 15,298 22,947 45,894 1,522,151 3,044,302 4,566,453 9,132,906

Collatz Trajectory (132 steps to reach 1)

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

9,132,906 4,566,453 13,699,360 6,849,680 3,424,840 1,712,420 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856 1,542,928 771,464 385,732 192,866 96,433 289,300 144,650 72,325 216,976 108,488 54,244 27,122 13,561 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656

More profiles

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