λ
Harmonic Matrix

3,464,402

2 × 163 × 10627
Deficient Even Composite

3,464,402 has digital root 5. The neighboring primes are 3464389 and 3464407; its proper-divisor sum differs from the starting integer by -1,699,828.

Prime Factor Structure

Factorization String 2 × 163 × 10627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,228,976
Proper Divisor Sum 1,764,574
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3464389 ← → #3464407

Radix Representation

Decimal 3464402
Binary 1101001101110011010010 (22 bits)
Octal 0o15156322
Hexadecimal 0x34DCD2

Divisor Catalog (8)

1 2 163 326 10,627 21,254 1,732,201 3,464,402

Collatz Trajectory (208 steps to reach 1)

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

3,464,402 1,732,201 5,196,604 2,598,302 1,299,151 3,897,454 1,948,727 5,846,182 2,923,091 8,769,274 4,384,637 13,153,912 6,576,956 3,288,478 1,644,239 4,932,718 2,466,359 7,399,078 3,699,539 11,098,618 5,549,309 16,647,928 8,323,964 4,161,982 2,080,991 6,242,974 3,121,487 9,364,462 4,682,231 14,046,694 7,023,347 21,070,042 10,535,021 31,605,064 15,802,532 7,901,266 3,950,633 11,851,900 5,925,950 2,962,975 8,888,926 4,444,463 13,333,390 6,666,695 20,000,086 10,000,043 30,000,130 15,000,065 45,000,196 22,500,098 11,250,049 33,750,148 16,875,074 8,437,537 25,312,612 12,656,306 6,328,153 18,984,460 9,492,230 4,746,115

More profiles

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