λ
Harmonic Matrix

5,716,191

3 × 13 × 103 × 1423
Deficient Odd Composite

5,716,191 has digital root 3. The neighboring primes are 5716181 and 5716211; its proper-divisor sum differs from the starting integer by -3,139,006.

Prime Factor Structure

Factorization String 3 × 13 × 103 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,293,376
Proper Divisor Sum 2,577,185
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5716181 ← → #5716211

Radix Representation

Decimal 5716191
Binary 10101110011100011011111 (23 bits)
Octal 0o25634337
Hexadecimal 0x5738DF

Divisor Catalog (16)

1 3 13 39 103 309 1,339 1,423 4,017 4,269 18,499 55,497 146,569 439,707 1,905,397 5,716,191

Collatz Trajectory (245 steps to reach 1)

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

5,716,191 17,148,574 8,574,287 25,722,862 12,861,431 38,584,294 19,292,147 57,876,442 28,938,221 86,814,664 43,407,332 21,703,666 10,851,833 32,555,500 16,277,750 8,138,875 24,416,626 12,208,313 36,624,940 18,312,470 9,156,235 27,468,706 13,734,353 41,203,060 20,601,530 10,300,765 30,902,296 15,451,148 7,725,574 3,862,787 11,588,362 5,794,181 17,382,544 8,691,272 4,345,636 2,172,818 1,086,409 3,259,228 1,629,614 814,807 2,444,422 1,222,211 3,666,634 1,833,317 5,499,952 2,749,976 1,374,988 687,494 343,747 1,031,242 515,621 1,546,864 773,432 386,716 193,358 96,679 290,038 145,019 435,058 217,529

More profiles

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