λ
Harmonic Matrix

1,211,082

2 × 3 × 201847
Abundant Even Composite

1,211,082 has digital root 6. The neighboring primes are 1211081 and 1211083; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 201847
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,422,176
Proper Divisor Sum 1,211,094
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1211081 ← → #1211083

Radix Representation

Decimal 1211082
Binary 100100111101011001010 (21 bits)
Octal 0o4475312
Hexadecimal 0x127ACA

Divisor Catalog (8)

1 2 3 6 201,847 403,694 605,541 1,211,082

Collatz Trajectory (67 steps to reach 1)

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

1,211,082 605,541 1,816,624 908,312 454,156 227,078 113,539 340,618 170,309 510,928 255,464 127,732 63,866 31,933 95,800 47,900 23,950 11,975 35,926 17,963 53,890 26,945 80,836 40,418 20,209 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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