λ
Harmonic Matrix

331,889

331889
Deficient Odd Prime

331,889 has digital root 5. The neighboring primes are 331883 and 331897; its proper-divisor sum differs from the starting integer by -331,888.

Prime Factor Structure

Factorization String 331889
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 331,890
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #331883 ← → #331897

Radix Representation

Decimal 331889
Binary 1010001000001110001 (19 bits)
Octal 0o1210161
Hexadecimal 0x51071

Divisor Catalog (2)

1 331,889

Collatz Trajectory (47 steps to reach 1)

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

331,889 995,668 497,834 248,917 746,752 373,376 186,688 93,344 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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