2,222,121

3 × 11 × 17² × 233

For 2,222,121, the 24 positive divisors have a total of 3,448,224. Removing 2,222,121 leaves 1,226,103, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 17^2 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,448,224

Proper Divisor Sum 1,226,103

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2222093 ← → #2222123

Radix Representation

Decimal	2222121
Binary	1000011110100000101001 (22 bits)
Octal	0o10364051
Hexadecimal	0x21E829

Divisor Catalog (24)

1 3 11 17 33 51 187 233 289 561 699 867 2,563 3,179 3,961 7,689 9,537 11,883 43,571 67,337 130,713 202,011 740,707 2,222,121

Collatz Trajectory (117 steps to reach 1)

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

2,222,121 6,666,364 3,333,182 1,666,591 4,999,774 2,499,887 7,499,662 3,749,831 11,249,494 5,624,747 16,874,242 8,437,121 25,311,364 12,655,682 6,327,841 18,983,524 9,491,762 4,745,881 14,237,644 7,118,822 3,559,411 10,678,234 5,339,117 16,017,352 8,008,676 4,004,338 2,002,169 6,006,508 3,003,254 1,501,627 4,504,882 2,252,441 6,757,324 3,378,662 1,689,331 5,067,994 2,533,997 7,601,992 3,800,996 1,900,498 950,249 2,850,748 1,425,374 712,687 2,138,062 1,069,031 3,207,094 1,603,547 4,810,642 2,405,321 7,215,964 3,607,982 1,803,991 5,411,974 2,705,987 8,117,962 4,058,981 12,176,944 6,088,472 3,044,236

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