λ
Harmonic Matrix

6,998,939

6998939
Deficient Odd Prime

6,998,939 has digital root 8. The neighboring primes are 6998933 and 6998941; its proper-divisor sum differs from the starting integer by -6,998,938.

Prime Factor Structure

Factorization String 6998939
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,998,940
Proper Divisor Sum 1
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #6998933 ← → #6998941

Radix Representation

Decimal 6998939
Binary 11010101100101110011011 (23 bits)
Octal 0o32545633
Hexadecimal 0x6ACB9B

Divisor Catalog (2)

Collatz Trajectory (191 steps to reach 1)

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

6,998,939 20,996,818 10,498,409 31,495,228 15,747,614 7,873,807 23,621,422 11,810,711 35,432,134 17,716,067 53,148,202 26,574,101 79,722,304 39,861,152 19,930,576 9,965,288 4,982,644 2,491,322 1,245,661 3,736,984 1,868,492 934,246 467,123 1,401,370 700,685 2,102,056 1,051,028 525,514 262,757 788,272 394,136 197,068 98,534 49,267 147,802 73,901 221,704 110,852 55,426 27,713 83,140 41,570 20,785 62,356 31,178 15,589 46,768 23,384 11,692 5,846 2,923 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402

More profiles

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