λ
Sequence Observatory

1,682,123

1682123
Deficient Odd Prime

Starting at 1,682,123, the Collatz iteration reaches 1 after 243 steps. The first transition is 5046370; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1682123
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,682,124
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1682119 ← → #1682143

Radix Representation

Decimal 1682123
Binary 110011010101011001011 (21 bits)
Octal 0o6325313
Hexadecimal 0x19AACB

Divisor Catalog (2)

Collatz Trajectory (243 steps to reach 1)

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

1,682,123 5,046,370 2,523,185 7,569,556 3,784,778 1,892,389 5,677,168 2,838,584 1,419,292 709,646 354,823 1,064,470 532,235 1,596,706 798,353 2,395,060 1,197,530 598,765 1,796,296 898,148 449,074 224,537 673,612 336,806 168,403 505,210 252,605 757,816 378,908 189,454 94,727 284,182 142,091 426,274 213,137 639,412 319,706 159,853 479,560 239,780 119,890 59,945 179,836 89,918 44,959 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092

More profiles

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