λ
Prime Ledger

217,118

2 × 11 × 71 × 139
Deficient Even Composite

217,118 has the prime decomposition 2 × 11 × 71 × 139. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 71 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 362,880
Proper Divisor Sum 145,762
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #217117 ← → #217121

Radix Representation

Decimal 217118
Binary 110101000000011110 (18 bits)
Octal 0o650036
Hexadecimal 0x3501E

Divisor Catalog (16)

1 2 11 22 71 139 142 278 781 1,529 1,562 3,058 9,869 19,738 108,559 217,118

Collatz Trajectory (142 steps to reach 1)

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

217,118 108,559 325,678 162,839 488,518 244,259 732,778 366,389 1,099,168 549,584 274,792 137,396 68,698 34,349 103,048 51,524 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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