8,671,311

3² × 11 × 87589

8,671,311 has digital root 9. The neighboring primes are 8671307 and 8671321; its proper-divisor sum differs from the starting integer by -3,678,582.

Prime Factor Structure

Factorization String 3^2 × 11 × 87589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,664,040

Proper Divisor Sum 4,992,729

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8671307 ← → #8671321

Radix Representation

Decimal	8671311
Binary	100001000101000001001111 (24 bits)
Octal	0o41050117
Hexadecimal	0x84504F

Divisor Catalog (12)

1 3 9 11 33 99 87,589 262,767 788,301 963,479 2,890,437 8,671,311

Collatz Trajectory (119 steps to reach 1)

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

8,671,311 26,013,934 13,006,967 39,020,902 19,510,451 58,531,354 29,265,677 87,797,032 43,898,516 21,949,258 10,974,629 32,923,888 16,461,944 8,230,972 4,115,486 2,057,743 6,173,230 3,086,615 9,259,846 4,629,923 13,889,770 6,944,885 20,834,656 10,417,328 5,208,664 2,604,332 1,302,166 651,083 1,953,250 976,625 2,929,876 1,464,938 732,469 2,197,408 1,098,704 549,352 274,676 137,338 68,669 206,008 103,004 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529

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