λ
Harmonic Matrix

7,796,889

32 × 43 × 20147
Deficient Odd Composite

7,796,889 has digital root 9. The neighboring primes are 7796881 and 7796917; its proper-divisor sum differs from the starting integer by -4,069,122.

Prime Factor Structure

Factorization String 3^2 × 43 × 20147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,524,656
Proper Divisor Sum 3,727,767
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #7796881 ← → #7796917

Radix Representation

Decimal 7796889
Binary 11101101111100010011001 (23 bits)
Octal 0o35574231
Hexadecimal 0x76F899

Divisor Catalog (12)

1 3 9 43 129 387 20,147 60,441 181,323 866,321 2,598,963 7,796,889

Collatz Trajectory (323 steps to reach 1)

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

7,796,889 23,390,668 11,695,334 5,847,667 17,543,002 8,771,501 26,314,504 13,157,252 6,578,626 3,289,313 9,867,940 4,933,970 2,466,985 7,400,956 3,700,478 1,850,239 5,550,718 2,775,359 8,326,078 4,163,039 12,489,118 6,244,559 18,733,678 9,366,839 28,100,518 14,050,259 42,150,778 21,075,389 63,226,168 31,613,084 15,806,542 7,903,271 23,709,814 11,854,907 35,564,722 17,782,361 53,347,084 26,673,542 13,336,771 40,010,314 20,005,157 60,015,472 30,007,736 15,003,868 7,501,934 3,750,967 11,252,902 5,626,451 16,879,354 8,439,677 25,319,032 12,659,516 6,329,758 3,164,879 9,494,638 4,747,319 14,241,958 7,120,979 21,362,938 10,681,469

More profiles

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