λ
Sequence Observatory

6,931,690

2 × 5 × 693169
Deficient Even Composite

Starting at 6,931,690, the Collatz iteration reaches 1 after 147 steps. The first transition is 3465845; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 693169
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,477,060
Proper Divisor Sum 5,545,370
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6931679 ← → #6931721

Radix Representation

Decimal 6931690
Binary 11010011100010011101010 (23 bits)
Octal 0o32342352
Hexadecimal 0x69C4EA

Divisor Catalog (8)

1 2 5 10 693,169 1,386,338 3,465,845 6,931,690

Collatz Trajectory (147 steps to reach 1)

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

6,931,690 3,465,845 10,397,536 5,198,768 2,599,384 1,299,692 649,846 324,923 974,770 487,385 1,462,156 731,078 365,539 1,096,618 548,309 1,644,928 822,464 411,232 205,616 102,808 51,404 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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