λ
Harmonic Matrix

2,982,838

2 × 1491419
Deficient Even Composite

2,982,838 has digital root 4. The neighboring primes are 2982827 and 2982841; its proper-divisor sum differs from the starting integer by -1,491,416.

Prime Factor Structure

Factorization String 2 × 1491419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,474,260
Proper Divisor Sum 1,491,422
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2982827 ← → #2982841

Radix Representation

Decimal 2982838
Binary 1011011000001110110110 (22 bits)
Octal 0o13301666
Hexadecimal 0x2D83B6

Divisor Catalog (4)

1 2 1,491,419 2,982,838

Collatz Trajectory (164 steps to reach 1)

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

2,982,838 1,491,419 4,474,258 2,237,129 6,711,388 3,355,694 1,677,847 5,033,542 2,516,771 7,550,314 3,775,157 11,325,472 5,662,736 2,831,368 1,415,684 707,842 353,921 1,061,764 530,882 265,441 796,324 398,162 199,081 597,244 298,622 149,311 447,934 223,967 671,902 335,951 1,007,854 503,927 1,511,782 755,891 2,267,674 1,133,837 3,401,512 1,700,756 850,378 425,189 1,275,568 637,784 318,892 159,446 79,723 239,170 119,585 358,756 179,378 89,689 269,068 134,534 67,267 201,802 100,901 302,704 151,352 75,676 37,838 18,919

More profiles

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