λ
Harmonic Matrix

3,178,682

2 × 13 × 179 × 683
Deficient Even Composite

3,178,682 has digital root 8. The neighboring primes are 3178667 and 3178691; its proper-divisor sum differs from the starting integer by -1,186,324.

Prime Factor Structure

Factorization String 2 × 13 × 179 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,171,040
Proper Divisor Sum 1,992,358
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3178667 ← → #3178691

Radix Representation

Decimal 3178682
Binary 1100001000000010111010 (22 bits)
Octal 0o14100272
Hexadecimal 0x3080BA

Divisor Catalog (16)

1 2 13 26 179 358 683 1,366 2,327 4,654 8,879 17,758 122,257 244,514 1,589,341 3,178,682

Collatz Trajectory (120 steps to reach 1)

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

3,178,682 1,589,341 4,768,024 2,384,012 1,192,006 596,003 1,788,010 894,005 2,682,016 1,341,008 670,504 335,252 167,626 83,813 251,440 125,720 62,860 31,430 15,715 47,146 23,573 70,720 35,360 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

More profiles

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