λ
Harmonic Matrix

2,142,397

2142397
Deficient Odd Prime

2,142,397 has digital root 1. The neighboring primes are 2142377 and 2142403; its proper-divisor sum differs from the starting integer by -2,142,396.

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Prime Factor Structure

Factorization String 2142397
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,142,398
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2142377 ← → #2142403

Radix Representation

Decimal 2142397
Binary 1000001011000010111101 (22 bits)
Octal 0o10130275
Hexadecimal 0x20B0BD

Divisor Catalog (2)

Collatz Trajectory (166 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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