2,118,138

2 × 3 × 11 × 67 × 479

2,118,138 has digital root 6. The neighboring primes are 2118121 and 2118163; its proper-divisor sum differs from the starting integer by 463,884.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 67 × 479

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,700,160

Proper Divisor Sum 2,582,022

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2118121 ← → #2118163

Radix Representation

Decimal	2118138
Binary	1000000101000111111010 (22 bits)
Octal	0o10050772
Hexadecimal	0x2051FA

Divisor Catalog (32)

1 2 3 6 11 22 33 66 67 134 201 402 479 737 958 1,437 1,474 2,211 2,874 4,422 5,269 10,538 15,807 31,614 32,093 64,186 96,279 192,558 353,023 706,046 1,059,069 2,118,138

Collatz Trajectory (104 steps to reach 1)

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

2,118,138 1,059,069 3,177,208 1,588,604 794,302 397,151 1,191,454 595,727 1,787,182 893,591 2,680,774 1,340,387 4,021,162 2,010,581 6,031,744 3,015,872 1,507,936 753,968 376,984 188,492 94,246 47,123 141,370 70,685 212,056 106,028 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444

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