λ
Harmonic Matrix

6,965,006

2 × 191 × 18233
Deficient Even Composite

6,965,006 has digital root 5. The neighboring primes are 6964973 and 6965027; its proper-divisor sum differs from the starting integer by -3,427,228.

Prime Factor Structure

Factorization String 2 × 191 × 18233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,502,784
Proper Divisor Sum 3,537,778
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6964973 ← → #6965027

Radix Representation

Decimal 6965006
Binary 11010100100011100001110 (23 bits)
Octal 0o32443416
Hexadecimal 0x6A470E

Divisor Catalog (8)

1 2 191 382 18,233 36,466 3,482,503 6,965,006

Collatz Trajectory (191 steps to reach 1)

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

6,965,006 3,482,503 10,447,510 5,223,755 15,671,266 7,835,633 23,506,900 11,753,450 5,876,725 17,630,176 8,815,088 4,407,544 2,203,772 1,101,886 550,943 1,652,830 826,415 2,479,246 1,239,623 3,718,870 1,859,435 5,578,306 2,789,153 8,367,460 4,183,730 2,091,865 6,275,596 3,137,798 1,568,899 4,706,698 2,353,349 7,060,048 3,530,024 1,765,012 882,506 441,253 1,323,760 661,880 330,940 165,470 82,735 248,206 124,103 372,310 186,155 558,466 279,233 837,700 418,850 209,425 628,276 314,138 157,069 471,208 235,604 117,802 58,901 176,704 88,352 44,176

More profiles

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