λ
Harmonic Matrix

3,326,194

2 × 827 × 2011
Deficient Even Composite

3,326,194 has digital root 1. The neighboring primes are 3326177 and 3326201; its proper-divisor sum differs from the starting integer by -1,654,580.

Prime Factor Structure

Factorization String 2 × 827 × 2011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,997,808
Proper Divisor Sum 1,671,614
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3326177 ← → #3326201

Radix Representation

Decimal 3326194
Binary 1100101100000011110010 (22 bits)
Octal 0o14540362
Hexadecimal 0x32C0F2

Divisor Catalog (8)

1 2 827 1,654 2,011 4,022 1,663,097 3,326,194

Collatz Trajectory (208 steps to reach 1)

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

3,326,194 1,663,097 4,989,292 2,494,646 1,247,323 3,741,970 1,870,985 5,612,956 2,806,478 1,403,239 4,209,718 2,104,859 6,314,578 3,157,289 9,471,868 4,735,934 2,367,967 7,103,902 3,551,951 10,655,854 5,327,927 15,983,782 7,991,891 23,975,674 11,987,837 35,963,512 17,981,756 8,990,878 4,495,439 13,486,318 6,743,159 20,229,478 10,114,739 30,344,218 15,172,109 45,516,328 22,758,164 11,379,082 5,689,541 17,068,624 8,534,312 4,267,156 2,133,578 1,066,789 3,200,368 1,600,184 800,092 400,046 200,023 600,070 300,035 900,106 450,053 1,350,160 675,080 337,540 168,770 84,385 253,156 126,578

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