8,923,733

7² × 13 × 14009

8,923,733 factors as 7^2 × 13 × 14009. Its 12 positive divisors give a proper-divisor sum of 2,256,247, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 14009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,179,980

Proper Divisor Sum 2,256,247

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8923729 ← → #8923781

Radix Representation

Decimal	8923733
Binary	100010000010101001010101 (24 bits)
Octal	0o42025125
Hexadecimal	0x882A55

Divisor Catalog (12)

1 7 13 49 91 637 14,009 98,063 182,117 686,441 1,274,819 8,923,733

Collatz Trajectory (119 steps to reach 1)

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

8,923,733 26,771,200 13,385,600 6,692,800 3,346,400 1,673,200 836,600 418,300 209,150 104,575 313,726 156,863 470,590 235,295 705,886 352,943 1,058,830 529,415 1,588,246 794,123 2,382,370 1,191,185 3,573,556 1,786,778 893,389 2,680,168 1,340,084 670,042 335,021 1,005,064 502,532 251,266 125,633 376,900 188,450 94,225 282,676 141,338 70,669 212,008 106,004 53,002 26,501 79,504 39,752 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436

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