λ
Harmonic Matrix

2,271,827

2271827
Deficient Odd Prime

2,271,827 has digital root 2. The neighboring primes are 2271821 and 2271859; its proper-divisor sum differs from the starting integer by -2,271,826.

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Prime Factor Structure

Factorization String 2271827
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,271,828
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2271821 ← → #2271859

Radix Representation

Decimal 2271827
Binary 1000101010101001010011 (22 bits)
Octal 0o10525123
Hexadecimal 0x22AA53

Divisor Catalog (2)

Collatz Trajectory (316 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.

2,271,827 6,815,482 3,407,741 10,223,224 5,111,612

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