λ
Prime Ledger

126,834

2 × 3 × 21139
Abundant Even Composite

126,834 has the prime decomposition 2 × 3 × 21139. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 21139
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 253,680
Proper Divisor Sum 126,846
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #126827 ← → #126839

Radix Representation

Decimal 126834
Binary 11110111101110010 (17 bits)
Octal 0o367562
Hexadecimal 0x1EF72

Divisor Catalog (8)

1 2 3 6 21,139 42,278 63,417 126,834

Collatz Trajectory (56 steps to reach 1)

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

126,834 63,417 190,252 95,126 47,563 142,690 71,345 214,036 107,018 53,509 160,528 80,264 40,132 20,066 10,033 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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