λ
Harmonic Matrix

6,742,966

2 × 79 × 42677
Deficient Even Composite

6,742,966 has digital root 4. The neighboring primes are 6742961 and 6742969; its proper-divisor sum differs from the starting integer by -3,243,212.

Prime Factor Structure

Factorization String 2 × 79 × 42677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,242,720
Proper Divisor Sum 3,499,754
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6742961 ← → #6742969

Radix Representation

Decimal 6742966
Binary 11001101110001110110110 (23 bits)
Octal 0o31561666
Hexadecimal 0x66E3B6

Divisor Catalog (8)

1 2 79 158 42,677 85,354 3,371,483 6,742,966

Collatz Trajectory (328 steps to reach 1)

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

6,742,966 3,371,483 10,114,450 5,057,225 15,171,676 7,585,838 3,792,919 11,378,758 5,689,379 17,068,138 8,534,069 25,602,208 12,801,104 6,400,552 3,200,276 1,600,138 800,069 2,400,208 1,200,104 600,052 300,026 150,013 450,040 225,020 112,510 56,255 168,766 84,383 253,150 126,575 379,726 189,863 569,590 284,795 854,386 427,193 1,281,580 640,790 320,395 961,186 480,593 1,441,780 720,890 360,445 1,081,336 540,668 270,334 135,167 405,502 202,751 608,254 304,127 912,382 456,191 1,368,574 684,287 2,052,862 1,026,431 3,079,294 1,539,647

More profiles

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