λ
Sigma Notebook

1,684,106

2 × 23 × 31 × 1181
Deficient Even Composite

1,684,106 is even and not a perfect square. Its factorization is 2 × 23 × 31 × 1181 and its 16 divisors sum to 2,723,328.

Prime Factor Structure

Factorization String 2 × 23 × 31 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,723,328
Proper Divisor Sum 1,039,222
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1684099 ← → #1684127

Radix Representation

Decimal 1684106
Binary 110011011001010001010 (21 bits)
Octal 0o6331212
Hexadecimal 0x19B28A

Divisor Catalog (16)

1 2 23 31 46 62 713 1,181 1,426 2,362 27,163 36,611 54,326 73,222 842,053 1,684,106

Collatz Trajectory (220 steps to reach 1)

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

1,684,106 842,053 2,526,160 1,263,080 631,540 315,770 157,885 473,656 236,828 118,414 59,207 177,622 88,811 266,434 133,217 399,652 199,826 99,913 299,740 149,870 74,935 224,806 112,403 337,210 168,605 505,816 252,908 126,454 63,227 189,682 94,841 284,524 142,262 71,131 213,394 106,697 320,092 160,046 80,023 240,070 120,035 360,106 180,053 540,160 270,080 135,040 67,520 33,760 16,880 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690

More profiles

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