λ
Harmonic Matrix

7,864,221

3 × 127 × 20641
Deficient Odd Composite

7,864,221 has digital root 3. The neighboring primes are 7864201 and 7864243; its proper-divisor sum differs from the starting integer by -5,159,738.

Prime Factor Structure

Factorization String 3 × 127 × 20641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,568,704
Proper Divisor Sum 2,704,483
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7864201 ← → #7864243

Radix Representation

Decimal 7864221
Binary 11101111111111110011101 (23 bits)
Octal 0o35777635
Hexadecimal 0x77FF9D

Divisor Catalog (8)

1 3 127 381 20,641 61,923 2,621,407 7,864,221

Collatz Trajectory (173 steps to reach 1)

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

7,864,221 23,592,664 11,796,332 5,898,166 2,949,083 8,847,250 4,423,625 13,270,876 6,635,438 3,317,719 9,953,158 4,976,579 14,929,738 7,464,869 22,394,608 11,197,304 5,598,652 2,799,326 1,399,663 4,198,990 2,099,495 6,298,486 3,149,243 9,447,730 4,723,865 14,171,596 7,085,798 3,542,899 10,628,698 5,314,349 15,943,048 7,971,524 3,985,762 1,992,881 5,978,644 2,989,322 1,494,661 4,483,984 2,241,992 1,120,996 560,498 280,249 840,748 420,374 210,187 630,562 315,281 945,844 472,922 236,461 709,384 354,692 177,346 88,673 266,020 133,010 66,505 199,516 99,758 49,879

More profiles

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