λ
Sequence Observatory

6,818,149

13 × 47 × 11159
Deficient Odd Composite

Starting at 6,818,149, the Collatz iteration reaches 1 after 253 steps. The first transition is 20454448; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 47 × 11159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,499,520
Proper Divisor Sum 681,371
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6818137 ← → #6818159

Radix Representation

Decimal 6818149
Binary 11010000000100101100101 (23 bits)
Octal 0o32004545
Hexadecimal 0x680965

Divisor Catalog (8)

1 13 47 611 11,159 145,067 524,473 6,818,149

Collatz Trajectory (253 steps to reach 1)

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

6,818,149 20,454,448 10,227,224 5,113,612 2,556,806 1,278,403 3,835,210 1,917,605 5,752,816 2,876,408 1,438,204 719,102 359,551 1,078,654 539,327 1,617,982 808,991 2,426,974 1,213,487 3,640,462 1,820,231 5,460,694 2,730,347 8,191,042 4,095,521 12,286,564 6,143,282 3,071,641 9,214,924 4,607,462 2,303,731 6,911,194 3,455,597 10,366,792 5,183,396 2,591,698 1,295,849 3,887,548 1,943,774 971,887 2,915,662 1,457,831 4,373,494 2,186,747 6,560,242 3,280,121 9,840,364 4,920,182 2,460,091 7,380,274 3,690,137 11,070,412 5,535,206 2,767,603 8,302,810 4,151,405 12,454,216 6,227,108 3,113,554 1,556,777

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