211,344

2⁴ × 3 × 7 × 17 × 37

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 17 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 678,528

Proper Divisor Sum 467,184

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #211339 ← → #211349

Radix Representation

Decimal	211344
Binary	110011100110010000 (18 bits)
Octal	0o634620
Hexadecimal	0x33990

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 37 42 48 51 56 68 74 84 102 111 112 119 136 148 168 204 222 238 259 272 296 336 357 408 444 476 518 592 629 714 777 816 888 952 1,036 1,258 1,428 1,554 1,776 1,887 1,904 2,072 2,516 2,856 3,108

Collatz Trajectory (49 steps to reach 1)

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

211,344 105,672 52,836 26,418 13,209 39,628 19,814 9,907 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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