2,189,529

3² × 29 × 8389

2,189,529 factors as 3^2 × 29 × 8389. Its 12 positive divisors give a proper-divisor sum of 1,082,571, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 8389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,272,100

Proper Divisor Sum 1,082,571

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2189521 ← → #2189533

Radix Representation

Decimal	2189529
Binary	1000010110100011011001 (22 bits)
Octal	0o10264331
Hexadecimal	0x2168D9

Divisor Catalog (12)

1 3 9 29 87 261 8,389 25,167 75,501 243,281 729,843 2,189,529

Collatz Trajectory (166 steps to reach 1)

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

2,189,529 6,568,588 3,284,294 1,642,147 4,926,442 2,463,221 7,389,664 3,694,832 1,847,416 923,708 461,854 230,927 692,782 346,391 1,039,174 519,587 1,558,762 779,381 2,338,144 1,169,072 584,536 292,268 146,134 73,067 219,202 109,601 328,804 164,402 82,201 246,604 123,302 61,651 184,954 92,477 277,432 138,716 69,358 34,679 104,038 52,019 156,058 78,029 234,088 117,044 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315

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