λ
Harmonic Matrix

5,309,189

19 × 279431
Deficient Odd Composite

5,309,189 has digital root 8. The neighboring primes are 5309179 and 5309191; its proper-divisor sum differs from the starting integer by -5,029,738.

Prime Factor Structure

Factorization String 19 × 279431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,588,640
Proper Divisor Sum 279,451
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5309179 ← → #5309191

Radix Representation

Decimal 5309189
Binary 10100010000001100000101 (23 bits)
Octal 0o24201405
Hexadecimal 0x510305

Divisor Catalog (4)

1 19 279,431 5,309,189

Collatz Trajectory (95 steps to reach 1)

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

5,309,189 15,927,568 7,963,784 3,981,892 1,990,946 995,473 2,986,420 1,493,210 746,605 2,239,816 1,119,908 559,954 279,977 839,932 419,966 209,983 629,950 314,975 944,926 472,463 1,417,390 708,695 2,126,086 1,063,043 3,189,130 1,594,565 4,783,696 2,391,848 1,195,924 597,962 298,981 896,944 448,472 224,236 112,118 56,059 168,178 84,089 252,268 126,134 63,067 189,202 94,601 283,804 141,902 70,951 212,854 106,427 319,282 159,641 478,924 239,462 119,731 359,194 179,597 538,792 269,396 134,698 67,349 202,048

More profiles

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