211,116

2² × 3 × 73 × 241

211,116 has the prime decomposition 2^2 × 3 × 73 × 241. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 501,424

Proper Divisor Sum 290,308

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #211097 ← → #211129

Radix Representation

Decimal	211116
Binary	110011100010101100 (18 bits)
Octal	0o634254
Hexadecimal	0x338AC

Divisor Catalog (24)

1 2 3 4 6 12 73 146 219 241 292 438 482 723 876 964 1,446 2,892 17,593 35,186 52,779 70,372 105,558 211,116

Collatz Trajectory (129 steps to reach 1)

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

211,116 105,558 52,779 158,338 79,169 237,508 118,754 59,377 178,132 89,066 44,533 133,600 66,800 33,400 16,700 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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