λ
Harmonic Matrix

6,798,098

2 × 53 × 59 × 1087
Deficient Even Composite

6,798,098 has digital root 2. The neighboring primes are 6798097 and 6798101; its proper-divisor sum differs from the starting integer by -3,020,836.

Prime Factor Structure

Factorization String 2 × 53 × 59 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,575,360
Proper Divisor Sum 3,777,262
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #6798097 ← → #6798101

Radix Representation

Decimal 6798098
Binary 11001111011101100010010 (23 bits)
Octal 0o31735422
Hexadecimal 0x67BB12

Divisor Catalog (16)

1 2 53 59 106 118 1,087 2,174 3,127 6,254 57,611 64,133 115,222 128,266 3,399,049 6,798,098

Collatz Trajectory (178 steps to reach 1)

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

6,798,098 3,399,049 10,197,148 5,098,574 2,549,287 7,647,862 3,823,931 11,471,794 5,735,897 17,207,692 8,603,846 4,301,923 12,905,770 6,452,885 19,358,656 9,679,328 4,839,664 2,419,832 1,209,916 604,958 302,479 907,438 453,719 1,361,158 680,579 2,041,738 1,020,869 3,062,608 1,531,304 765,652 382,826 191,413 574,240 287,120 143,560 71,780 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198

More profiles

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