λ
Harmonic Matrix

6,989,092

22 × 11 × 158843
Deficient Even Composite

6,989,092 has digital root 7. The neighboring primes are 6989071 and 6989107; its proper-divisor sum differs from the starting integer by -635,288.

Prime Factor Structure

Factorization String 2^2 × 11 × 158843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,342,896
Proper Divisor Sum 6,353,804
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6989071 ← → #6989107

Radix Representation

Decimal 6989092
Binary 11010101010010100100100 (23 bits)
Octal 0o32522444
Hexadecimal 0x6AA524

Divisor Catalog (12)

1 2 4 11 22 44 158,843 317,686 635,372 1,747,273 3,494,546 6,989,092

Collatz Trajectory (147 steps to reach 1)

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

6,989,092 3,494,546 1,747,273 5,241,820 2,620,910 1,310,455 3,931,366 1,965,683 5,897,050 2,948,525 8,845,576 4,422,788 2,211,394 1,105,697 3,317,092 1,658,546 829,273 2,487,820 1,243,910 621,955 1,865,866 932,933 2,798,800 1,399,400 699,700 349,850 174,925 524,776 262,388 131,194 65,597 196,792 98,396 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206

More profiles

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