λ
Harmonic Matrix

4,788,761

23 × 208207
Deficient Odd Composite

4,788,761 has digital root 5. The neighboring primes are 4788757 and 4788767; its proper-divisor sum differs from the starting integer by -4,580,530.

Prime Factor Structure

Factorization String 23 × 208207
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,996,992
Proper Divisor Sum 208,231
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4788757 ← → #4788767

Radix Representation

Decimal 4788761
Binary 10010010001001000011001 (23 bits)
Octal 0o22211031
Hexadecimal 0x491219

Divisor Catalog (4)

1 23 208,207 4,788,761

Collatz Trajectory (237 steps to reach 1)

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

4,788,761 14,366,284 7,183,142 3,591,571 10,774,714 5,387,357 16,162,072 8,081,036 4,040,518 2,020,259 6,060,778 3,030,389 9,091,168 4,545,584 2,272,792 1,136,396 568,198 284,099 852,298 426,149 1,278,448 639,224 319,612 159,806 79,903 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385 910,156 455,078 227,539 682,618 341,309 1,023,928 511,964 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240

More profiles

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