427,134

2 × 3 × 257 × 277

For 427,134, the 16 positive divisors have a total of 860,688. Removing 427,134 leaves 433,554, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 257 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 860,688

Proper Divisor Sum 433,554

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #427117 ← → #427151

Radix Representation

Decimal	427134
Binary	1101000010001111110 (19 bits)
Octal	0o1502176
Hexadecimal	0x6847E

Divisor Catalog (16)

1 2 3 6 257 277 514 554 771 831 1,542 1,662 71,189 142,378 213,567 427,134

Collatz Trajectory (187 steps to reach 1)

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

427,134 213,567 640,702 320,351 961,054 480,527 1,441,582 720,791 2,162,374 1,081,187 3,243,562 1,621,781 4,865,344 2,432,672 1,216,336 608,168 304,084 152,042 76,021 228,064 114,032 57,016 28,508 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576

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