λ
Harmonic Matrix

5,187,191

359 × 14449
Deficient Odd Composite

5,187,191 has digital root 5. The neighboring primes are 5187181 and 5187233; its proper-divisor sum differs from the starting integer by -5,172,382.

Prime Factor Structure

Factorization String 359 × 14449
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,202,000
Proper Divisor Sum 14,809
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5187181 ← → #5187233

Radix Representation

Decimal 5187191
Binary 10011110010011001110111 (23 bits)
Octal 0o23623167
Hexadecimal 0x4F2677

Divisor Catalog (4)

1 359 14,449 5,187,191

Collatz Trajectory (188 steps to reach 1)

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

5,187,191 15,561,574 7,780,787 23,342,362 11,671,181 35,013,544 17,506,772 8,753,386 4,376,693 13,130,080 6,565,040 3,282,520 1,641,260 820,630 410,315 1,230,946 615,473 1,846,420 923,210 461,605 1,384,816 692,408 346,204 173,102 86,551 259,654 129,827 389,482 194,741 584,224 292,112 146,056 73,028 36,514 18,257 54,772 27,386 13,693 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488

More profiles

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