132,834

2 × 3 × 13² × 131

132,834 is even and not a perfect square. Its factorization is 2 × 3 × 13^2 × 131 and its 24 divisors sum to 289,872.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 289,872

Proper Divisor Sum 157,038

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #132833 ← → #132851

Radix Representation

Decimal	132834
Binary	100000011011100010 (18 bits)
Octal	0o403342
Hexadecimal	0x206E2

Divisor Catalog (24)

1 2 3 6 13 26 39 78 131 169 262 338 393 507 786 1,014 1,703 3,406 5,109 10,218 22,139 44,278 66,417 132,834

Collatz Trajectory (100 steps to reach 1)

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

132,834 66,417 199,252 99,626 49,813 149,440 74,720 37,360 18,680 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062

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