λ
Harmonic Matrix

4,788,162

2 × 32 × 266009
Abundant Even Composite

4,788,162 has digital root 9. The neighboring primes are 4788131 and 4788197; its proper-divisor sum differs from the starting integer by 798,066.

Prime Factor Structure

Factorization String 2 × 3^2 × 266009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,374,390
Proper Divisor Sum 5,586,228
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4788131 ← → #4788197

Radix Representation

Decimal 4788162
Binary 10010010000111111000010 (23 bits)
Octal 0o22207702
Hexadecimal 0x490FC2

Divisor Catalog (12)

1 2 3 6 9 18 266,009 532,018 798,027 1,596,054 2,394,081 4,788,162

Collatz Trajectory (144 steps to reach 1)

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

4,788,162 2,394,081 7,182,244 3,591,122 1,795,561 5,386,684 2,693,342 1,346,671 4,040,014 2,020,007 6,060,022 3,030,011 9,090,034 4,545,017 13,635,052 6,817,526 3,408,763 10,226,290 5,113,145 15,339,436 7,669,718 3,834,859 11,504,578 5,752,289 17,256,868 8,628,434 4,314,217 12,942,652 6,471,326 3,235,663 9,706,990 4,853,495 14,560,486 7,280,243 21,840,730 10,920,365 32,761,096 16,380,548 8,190,274 4,095,137 12,285,412 6,142,706 3,071,353 9,214,060 4,607,030 2,303,515 6,910,546 3,455,273 10,365,820 5,182,910 2,591,455 7,774,366 3,887,183 11,661,550 5,830,775 17,492,326 8,746,163 26,238,490 13,119,245 39,357,736

More profiles

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