λ
Sequence Observatory

6,942,711

3 × 23 × 239 × 421
Deficient Odd Composite

Starting at 6,942,711, the Collatz iteration reaches 1 after 72 steps. The first transition is 20828134; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 239 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,722,880
Proper Divisor Sum 2,780,169
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6942703 ← → #6942713

Radix Representation

Decimal 6942711
Binary 11010011110111111110111 (23 bits)
Octal 0o32367767
Hexadecimal 0x69EFF7

Divisor Catalog (16)

1 3 23 69 239 421 717 1,263 5,497 9,683 16,491 29,049 100,619 301,857 2,314,237 6,942,711

Collatz Trajectory (72 steps to reach 1)

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

6,942,711 20,828,134 10,414,067 31,242,202 15,621,101 46,863,304 23,431,652 11,715,826 5,857,913 17,573,740 8,786,870 4,393,435 13,180,306 6,590,153 19,770,460 9,885,230 4,942,615 14,827,846 7,413,923 22,241,770 11,120,885 33,362,656 16,681,328 8,340,664 4,170,332 2,085,166 1,042,583 3,127,750 1,563,875 4,691,626 2,345,813 7,037,440 3,518,720 1,759,360 879,680 439,840 219,920 109,960 54,980 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34

More profiles

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