λ
Sigma Notebook

9,752,684

22 × 353 × 6907
Deficient Even Composite

9,752,684 is even and not a perfect square. Its factorization is 2^2 × 353 × 6907 and its 12 divisors sum to 17,118,024.

Prime Factor Structure

Factorization String 2^2 × 353 × 6907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,118,024
Proper Divisor Sum 7,365,340
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9752663 ← → #9752707

Radix Representation

Decimal 9752684
Binary 100101001101000001101100 (24 bits)
Octal 0o45150154
Hexadecimal 0x94D06C

Divisor Catalog (12)

1 2 4 353 706 1,412 6,907 13,814 27,628 2,438,171 4,876,342 9,752,684

Collatz Trajectory (194 steps to reach 1)

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

9,752,684 4,876,342 2,438,171 7,314,514 3,657,257 10,971,772 5,485,886 2,742,943 8,228,830 4,114,415 12,343,246 6,171,623 18,514,870 9,257,435 27,772,306 13,886,153 41,658,460 20,829,230 10,414,615 31,243,846 15,621,923 46,865,770 23,432,885 70,298,656 35,149,328 17,574,664 8,787,332 4,393,666 2,196,833 6,590,500 3,295,250 1,647,625 4,942,876 2,471,438 1,235,719 3,707,158 1,853,579 5,560,738 2,780,369 8,341,108 4,170,554 2,085,277 6,255,832 3,127,916 1,563,958 781,979 2,345,938 1,172,969 3,518,908 1,759,454 879,727 2,639,182 1,319,591 3,958,774 1,979,387 5,938,162 2,969,081 8,907,244 4,453,622 2,226,811

More profiles

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