λ
Harmonic Matrix

1,129,991

1129991
Deficient Odd Prime

1,129,991 has digital root 5. The neighboring primes are 1129963 and 1130011; its proper-divisor sum differs from the starting integer by -1,129,990.

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Prime Factor Structure

Factorization String 1129991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,129,992
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1129963 ← → #1130011

Radix Representation

Decimal 1129991
Binary 100010011111000000111 (21 bits)
Octal 0o4237007
Hexadecimal 0x113E07

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

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