188,942

2 × 13³ × 43

188,942 has the prime decomposition 2 × 13^3 × 43. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^3 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 314,160

Proper Divisor Sum 125,218

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #188941 ← → #188953

Radix Representation

Decimal	188942
Binary	101110001000001110 (18 bits)
Octal	0o561016
Hexadecimal	0x2E20E

Divisor Catalog (16)

1 2 13 26 43 86 169 338 559 1,118 2,197 4,394 7,267 14,534 94,471 188,942

Collatz Trajectory (85 steps to reach 1)

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

188,942 94,471 283,414 141,707 425,122 212,561 637,684 318,842 159,421 478,264 239,132 119,566 59,783 179,350 89,675 269,026 134,513 403,540 201,770 100,885 302,656 151,328 75,664 37,832 18,916 9,458 4,729 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202

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