λ
Harmonic Matrix

6,989,876

22 × 491 × 3559
Deficient Even Composite

6,989,876 has digital root 8. The neighboring primes are 6989869 and 6989921; its proper-divisor sum differs from the starting integer by -1,719,112.

Prime Factor Structure

Factorization String 2^2 × 491 × 3559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,260,640
Proper Divisor Sum 5,270,764
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #6989869 ← → #6989921

Radix Representation

Decimal 6989876
Binary 11010101010100000110100 (23 bits)
Octal 0o32524064
Hexadecimal 0x6AA834

Divisor Catalog (12)

1 2 4 491 982 1,964 3,559 7,118 14,236 1,747,469 3,494,938 6,989,876

Collatz Trajectory (129 steps to reach 1)

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

6,989,876 3,494,938 1,747,469 5,242,408 2,621,204 1,310,602 655,301 1,965,904 982,952 491,476 245,738 122,869 368,608 184,304 92,152 46,076 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030

More profiles

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