λ
Sequence Observatory

6,778,291

13 × 17 × 30671
Deficient Odd Composite

Starting at 6,778,291, the Collatz iteration reaches 1 after 134 steps. The first transition is 20334874; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 30671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,729,344
Proper Divisor Sum 951,053
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6778283 ← → #6778297

Radix Representation

Decimal 6778291
Binary 11001110110110110110011 (23 bits)
Octal 0o31666663
Hexadecimal 0x676DB3

Divisor Catalog (8)

1 13 17 221 30,671 398,723 521,407 6,778,291

Collatz Trajectory (134 steps to reach 1)

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

6,778,291 20,334,874 10,167,437 30,502,312 15,251,156 7,625,578 3,812,789 11,438,368 5,719,184 2,859,592 1,429,796 714,898 357,449 1,072,348 536,174 268,087 804,262 402,131 1,206,394 603,197 1,809,592 904,796 452,398 226,199 678,598 339,299 1,017,898 508,949 1,526,848 763,424 381,712 190,856 95,428 47,714 23,857 71,572 35,786 17,893 53,680 26,840 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010

More profiles

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