λ
Sequence Observatory

1,689,668

22 × 367 × 1151
Deficient Even Composite

Starting at 1,689,668, the Collatz iteration reaches 1 after 145 steps. The first transition is 844834; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 367 × 1151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,967,552
Proper Divisor Sum 1,277,884
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #1689661 ← → #1689703

Radix Representation

Decimal 1689668
Binary 110011100100001000100 (21 bits)
Octal 0o6344104
Hexadecimal 0x19C844

Divisor Catalog (12)

1 2 4 367 734 1,151 1,468 2,302 4,604 422,417 844,834 1,689,668

Collatz Trajectory (145 steps to reach 1)

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

1,689,668 844,834 422,417 1,267,252 633,626 316,813 950,440 475,220 237,610 118,805 356,416 178,208 89,104 44,552 22,276 11,138 5,569 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

More profiles

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