λ
Harmonic Matrix

3,364,646

2 × 163 × 10321
Deficient Even Composite

3,364,646 has digital root 5. The neighboring primes are 3364637 and 3364649; its proper-divisor sum differs from the starting integer by -1,650,868.

Prime Factor Structure

Factorization String 2 × 163 × 10321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,078,424
Proper Divisor Sum 1,713,778
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3364637 ← → #3364649

Radix Representation

Decimal 3364646
Binary 1100110101011100100110 (22 bits)
Octal 0o14653446
Hexadecimal 0x335726

Divisor Catalog (8)

1 2 163 326 10,321 20,642 1,682,323 3,364,646

Collatz Trajectory (107 steps to reach 1)

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

3,364,646 1,682,323 5,046,970 2,523,485 7,570,456 3,785,228 1,892,614 946,307 2,838,922 1,419,461 4,258,384 2,129,192 1,064,596 532,298 266,149 798,448 399,224 199,612 99,806 49,903 149,710 74,855 224,566 112,283 336,850 168,425 505,276 252,638 126,319 378,958 189,479 568,438 284,219 852,658 426,329 1,278,988 639,494 319,747 959,242 479,621 1,438,864 719,432 359,716 179,858 89,929 269,788 134,894 67,447 202,342 101,171 303,514 151,757 455,272 227,636 113,818 56,909 170,728 85,364 42,682 21,341

More profiles

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