λ
Harmonic Matrix

5,199,273

32 × 199 × 2903
Deficient Odd Composite

5,199,273 has digital root 9. The neighboring primes are 5199269 and 5199301; its proper-divisor sum differs from the starting integer by -2,848,146.

Prime Factor Structure

Factorization String 3^2 × 199 × 2903
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,550,400
Proper Divisor Sum 2,351,127
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5199269 ← → #5199301

Radix Representation

Decimal 5199273
Binary 10011110101010110101001 (23 bits)
Octal 0o23652651
Hexadecimal 0x4F55A9

Divisor Catalog (12)

1 3 9 199 597 1,791 2,903 8,709 26,127 577,697 1,733,091 5,199,273

Collatz Trajectory (294 steps to reach 1)

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

5,199,273 15,597,820 7,798,910 3,899,455 11,698,366 5,849,183 17,547,550 8,773,775 26,321,326 13,160,663 39,481,990 19,740,995 59,222,986 29,611,493 88,834,480 44,417,240 22,208,620 11,104,310 5,552,155 16,656,466 8,328,233 24,984,700 12,492,350 6,246,175 18,738,526 9,369,263 28,107,790 14,053,895 42,161,686 21,080,843 63,242,530 31,621,265 94,863,796 47,431,898 23,715,949 71,147,848 35,573,924 17,786,962 8,893,481 26,680,444 13,340,222 6,670,111 20,010,334 10,005,167 30,015,502 15,007,751 45,023,254 22,511,627 67,534,882 33,767,441 101,302,324 50,651,162 25,325,581 75,976,744 37,988,372 18,994,186 9,497,093 28,491,280 14,245,640 7,122,820

More profiles

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