9,021,429

3³ × 334127

For 9,021,429, the 8 positive divisors have a total of 13,365,120. Removing 9,021,429 leaves 4,343,691, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 334127

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,365,120

Proper Divisor Sum 4,343,691

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9021427 ← → #9021433

Radix Representation

Decimal	9021429
Binary	100010011010011111110101 (24 bits)
Octal	0o42323765
Hexadecimal	0x89A7F5

Divisor Catalog (8)

1 3 9 27 334,127 1,002,381 3,007,143 9,021,429

Collatz Trajectory (111 steps to reach 1)

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

9,021,429 27,064,288 13,532,144 6,766,072 3,383,036 1,691,518 845,759 2,537,278 1,268,639 3,805,918 1,902,959 5,708,878 2,854,439 8,563,318 4,281,659 12,844,978 6,422,489 19,267,468 9,633,734 4,816,867 14,450,602 7,225,301 21,675,904 10,837,952 5,418,976 2,709,488 1,354,744 677,372 338,686 169,343 508,030 254,015 762,046 381,023 1,143,070 571,535 1,714,606 857,303 2,571,910 1,285,955 3,857,866 1,928,933 5,786,800 2,893,400 1,446,700 723,350 361,675 1,085,026 542,513 1,627,540 813,770 406,885 1,220,656 610,328 305,164 152,582 76,291 228,874 114,437 343,312

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