λ
Harmonic Matrix

5,080,815

32 × 5 × 23 × 4909
Deficient Odd Composite

5,080,815 has digital root 9. The neighboring primes are 5080813 and 5080849; its proper-divisor sum differs from the starting integer by -970,110.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 4909
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,191,520
Proper Divisor Sum 4,110,705
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5080813 ← → #5080849

Radix Representation

Decimal 5080815
Binary 10011011000011011101111 (23 bits)
Octal 0o23303357
Hexadecimal 0x4D86EF

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 4,909 14,727 24,545 44,181 73,635 112,907 220,905 338,721 564,535 1,016,163 1,693,605 5,080,815

Collatz Trajectory (206 steps to reach 1)

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

5,080,815 15,242,446 7,621,223 22,863,670 11,431,835 34,295,506 17,147,753 51,443,260 25,721,630 12,860,815 38,582,446 19,291,223 57,873,670 28,936,835 86,810,506 43,405,253 130,215,760 65,107,880 32,553,940 16,276,970 8,138,485 24,415,456 12,207,728 6,103,864 3,051,932 1,525,966 762,983 2,288,950 1,144,475 3,433,426 1,716,713 5,150,140 2,575,070 1,287,535 3,862,606 1,931,303 5,793,910 2,896,955 8,690,866 4,345,433 13,036,300 6,518,150 3,259,075 9,777,226 4,888,613 14,665,840 7,332,920 3,666,460 1,833,230 916,615 2,749,846 1,374,923 4,124,770 2,062,385 6,187,156 3,093,578 1,546,789 4,640,368 2,320,184 1,160,092

More profiles

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