λ
Harmonic Matrix

2,986,494

2 × 3 × 7 × 211 × 337
Abundant Even Composite

2,986,494 has digital root 6. The neighboring primes are 2986493 and 2986513; its proper-divisor sum differs from the starting integer by 905,988.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 211 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,878,976
Proper Divisor Sum 3,892,482
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2986493 ← → #2986513

Radix Representation

Decimal 2986494
Binary 1011011001000111111110 (22 bits)
Octal 0o13310776
Hexadecimal 0x2D91FE

Divisor Catalog (32)

1 2 3 6 7 14 21 42 211 337 422 633 674 1,011 1,266 1,477 2,022 2,359 2,954 4,431 4,718 7,077 8,862 14,154 71,107 142,214 213,321 426,642 497,749 995,498 1,493,247 2,986,494

Collatz Trajectory (89 steps to reach 1)

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

2,986,494 1,493,247 4,479,742 2,239,871 6,719,614 3,359,807 10,079,422 5,039,711 15,119,134 7,559,567 22,678,702 11,339,351 34,018,054 17,009,027 51,027,082 25,513,541 76,540,624 38,270,312 19,135,156 9,567,578 4,783,789 14,351,368 7,175,684 3,587,842 1,793,921 5,381,764 2,690,882 1,345,441 4,036,324 2,018,162 1,009,081 3,027,244 1,513,622 756,811 2,270,434 1,135,217 3,405,652 1,702,826 851,413 2,554,240 1,277,120 638,560 319,280 159,640 79,820 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944

More profiles

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