43,146

2 × 3³ × 17 × 47

43,146 is even and not a perfect square. Its factorization is 2 × 3^3 × 17 × 47 and its 32 divisors sum to 103,680.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 103,680

Proper Divisor Sum 60,534

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #43133 ← → #43151

Radix Representation

Decimal	43146
Binary	1010100010001010 (16 bits)
Octal	0o124212
Hexadecimal	0xA88A

Divisor Catalog (32)

1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 799 846 918 1,269 1,598 2,397 2,538 4,794 7,191 14,382 21,573 43,146

Collatz Trajectory (70 steps to reach 1)

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

43,146 21,573 64,720 32,360 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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