λ
Harmonic Matrix

3,421,357

1181 × 2897
Deficient Odd Composite

3,421,357 has digital root 7. The neighboring primes are 3421331 and 3421373; its proper-divisor sum differs from the starting integer by -3,417,278.

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Prime Factor Structure

Factorization String 1181 × 2897
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,425,436
Proper Divisor Sum 4,079
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3421331 ← → #3421373

Radix Representation

Decimal 3421357
Binary 1101000011010010101101 (22 bits)
Octal 0o15032255
Hexadecimal 0x3434AD

Divisor Catalog (4)

1 1,181 2,897 3,421,357

Collatz Trajectory (133 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.

3,421,357 10,264,072 5,132,036 2,566,018 1,283,009

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