λ
Harmonic Matrix

7,989,788

22 × 277 × 7211
Deficient Even Composite

7,989,788 has digital root 2. The neighboring primes are 7989769 and 7989851; its proper-divisor sum differs from the starting integer by -1,945,024.

Prime Factor Structure

Factorization String 2^2 × 277 × 7211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,034,552
Proper Divisor Sum 6,044,764
Digit Sum / Digital Root 56 (Root: 2)
Adjacent Primes #7989769 ← → #7989851

Radix Representation

Decimal 7989788
Binary 11110011110101000011100 (23 bits)
Octal 0o36365034
Hexadecimal 0x79EA1C

Divisor Catalog (12)

1 2 4 277 554 1,108 7,211 14,422 28,844 1,997,447 3,994,894 7,989,788

Collatz Trajectory (186 steps to reach 1)

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

7,989,788 3,994,894 1,997,447 5,992,342 2,996,171 8,988,514 4,494,257 13,482,772 6,741,386 3,370,693 10,112,080 5,056,040 2,528,020 1,264,010 632,005 1,896,016 948,008 474,004 237,002 118,501 355,504 177,752 88,876 44,438 22,219 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235

More profiles

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