λ
Sigma Notebook

9,720,027

33 × 157 × 2293
Deficient Odd Composite

9,720,027 is odd and not a perfect square. Its factorization is 3^3 × 157 × 2293 and its 16 divisors sum to 14,498,080.

Prime Factor Structure

Factorization String 3^3 × 157 × 2293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,498,080
Proper Divisor Sum 4,778,053
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9719989 ← → #9720031

Radix Representation

Decimal 9720027
Binary 100101000101000011011011 (24 bits)
Octal 0o45050333
Hexadecimal 0x9450DB

Divisor Catalog (16)

1 3 9 27 157 471 1,413 2,293 4,239 6,879 20,637 61,911 360,001 1,080,003 3,240,009 9,720,027

Collatz Trajectory (194 steps to reach 1)

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

9,720,027 29,160,082 14,580,041 43,740,124 21,870,062 10,935,031 32,805,094 16,402,547 49,207,642 24,603,821 73,811,464 36,905,732 18,452,866 9,226,433 27,679,300 13,839,650 6,919,825 20,759,476 10,379,738 5,189,869 15,569,608 7,784,804 3,892,402 1,946,201 5,838,604 2,919,302 1,459,651 4,378,954 2,189,477 6,568,432 3,284,216 1,642,108 821,054 410,527 1,231,582 615,791 1,847,374 923,687 2,771,062 1,385,531 4,156,594 2,078,297 6,234,892 3,117,446 1,558,723 4,676,170 2,338,085 7,014,256 3,507,128 1,753,564 876,782 438,391 1,315,174 657,587 1,972,762 986,381 2,959,144 1,479,572 739,786 369,893

More profiles

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