212,049

3² × 23561

212,049 has the prime decomposition 3^2 × 23561. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23561

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 306,306

Proper Divisor Sum 94,257

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #212039 ← → #212057

Radix Representation

Decimal	212049
Binary	110011110001010001 (18 bits)
Octal	0o636121
Hexadecimal	0x33C51

Divisor Catalog (6)

1 3 9 23,561 70,683 212,049

Collatz Trajectory (173 steps to reach 1)

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

212,049 636,148 318,074 159,037 477,112 238,556 119,278 59,639 178,918 89,459 268,378 134,189 402,568 201,284 100,642 50,321 150,964 75,482 37,741 113,224 56,612 28,306 14,153 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348

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