λ
Sigma Notebook

1,220,186

2 × 11 × 37 × 1499
Deficient Even Composite

1,220,186 is even and not a perfect square. Its factorization is 2 × 11 × 37 × 1499 and its 16 divisors sum to 2,052,000.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 1499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,052,000
Proper Divisor Sum 831,814
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1220171 ← → #1220203

Radix Representation

Decimal 1220186
Binary 100101001111001011010 (21 bits)
Octal 0o4517132
Hexadecimal 0x129E5A

Divisor Catalog (16)

1 2 11 22 37 74 407 814 1,499 2,998 16,489 32,978 55,463 110,926 610,093 1,220,186

Collatz Trajectory (67 steps to reach 1)

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

1,220,186 610,093 1,830,280 915,140 457,570 228,785 686,356 343,178 171,589 514,768 257,384 128,692 64,346 32,173 96,520 48,260 24,130 12,065 36,196 18,098 9,049 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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