λ
Harmonic Matrix

454,116

22 × 3 × 13 × 41 × 71
Abundant Even Composite

454,116 has digital root 3. The neighboring primes are 454109 and 454141; its proper-divisor sum differs from the starting integer by 277,176.

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Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 41 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,185,408
Proper Divisor Sum 731,292
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #454109 ← → #454141

Radix Representation

Decimal 454116
Binary 1101110110111100100 (19 bits)
Octal 0o1566744
Hexadecimal 0x6EDE4

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (231 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.

454,116 227,058 113,529 340,588 170,294

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