8,264,421

3² × 11² × 7589

For 8,264,421, the 18 positive divisors have a total of 13,123,110. Removing 8,264,421 leaves 4,858,689, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 7589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,123,110

Proper Divisor Sum 4,858,689

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8264419 ← → #8264423

Radix Representation

Decimal	8264421
Binary	11111100001101011100101 (23 bits)
Octal	0o37415345
Hexadecimal	0x7E1AE5

Divisor Catalog (18)

1 3 9 11 33 99 121 363 1,089 7,589 22,767 68,301 83,479 250,437 751,311 918,269 2,754,807 8,264,421

Collatz Trajectory (199 steps to reach 1)

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

8,264,421 24,793,264 12,396,632 6,198,316 3,099,158 1,549,579 4,648,738 2,324,369 6,973,108 3,486,554 1,743,277 5,229,832 2,614,916 1,307,458 653,729 1,961,188 980,594 490,297 1,470,892 735,446 367,723 1,103,170 551,585 1,654,756 827,378 413,689 1,241,068 620,534 310,267 930,802 465,401 1,396,204 698,102 349,051 1,047,154 523,577 1,570,732 785,366 392,683 1,178,050 589,025 1,767,076 883,538 441,769 1,325,308 662,654 331,327 993,982 496,991 1,490,974 745,487 2,236,462 1,118,231 3,354,694 1,677,347 5,032,042 2,516,021 7,548,064 3,774,032 1,887,016

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