8,623,307

7 × 11² × 10181

8,623,307 factors as 7 × 11^2 × 10181. Its 12 positive divisors give a proper-divisor sum of 2,210,341, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 10181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,833,648

Proper Divisor Sum 2,210,341

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8623291 ← → #8623319

Radix Representation

Decimal	8623307
Binary	100000111001010011001011 (24 bits)
Octal	0o40712313
Hexadecimal	0x8394CB

Divisor Catalog (12)

1 7 11 77 121 847 10,181 71,267 111,991 783,937 1,231,901 8,623,307

Collatz Trajectory (106 steps to reach 1)

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

8,623,307 25,869,922 12,934,961 38,804,884 19,402,442 9,701,221 29,103,664 14,551,832 7,275,916 3,637,958 1,818,979 5,456,938 2,728,469 8,185,408 4,092,704 2,046,352 1,023,176 511,588 255,794 127,897 383,692 191,846 95,923 287,770 143,885 431,656 215,828 107,914 53,957 161,872 80,936 40,468 20,234 10,117 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254

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