λ
Harmonic Matrix

2,222,082

2 × 32 × 123449
Abundant Even Composite

2,222,082 has digital root 9. The neighboring primes are 2222071 and 2222089; its proper-divisor sum differs from the starting integer by 370,386.

Prime Factor Structure

Factorization String 2 × 3^2 × 123449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,814,550
Proper Divisor Sum 2,592,468
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2222071 ← → #2222089

Radix Representation

Decimal 2222082
Binary 1000011110100000000010 (22 bits)
Octal 0o10364002
Hexadecimal 0x21E802

Divisor Catalog (12)

1 2 3 6 9 18 123,449 246,898 370,347 740,694 1,111,041 2,222,082

Collatz Trajectory (179 steps to reach 1)

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

2,222,082 1,111,041 3,333,124 1,666,562 833,281 2,499,844 1,249,922 624,961 1,874,884 937,442 468,721 1,406,164 703,082 351,541 1,054,624 527,312 263,656 131,828 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096

More profiles

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