λ
Harmonic Matrix

134,945

5 × 137 × 197
Deficient Odd Composite

134,945 has digital root 8. The neighboring primes are 134923 and 134947; its proper-divisor sum differs from the starting integer by -105,946.

Prime Factor Structure

Factorization String 5 × 137 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 163,944
Proper Divisor Sum 28,999
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #134923 ← → #134947

Radix Representation

Decimal 134945
Binary 100000111100100001 (18 bits)
Octal 0o407441
Hexadecimal 0x20F21

Divisor Catalog (8)

1 5 137 197 685 985 26,989 134,945

Collatz Trajectory (69 steps to reach 1)

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

134,945 404,836 202,418 101,209 303,628 151,814 75,907 227,722 113,861 341,584 170,792 85,396 42,698 21,349 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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