λ
Sequence Observatory

6,718,832

24 × 419927
Deficient Even Composite

Starting at 6,718,832, the Collatz iteration reaches 1 after 116 steps. The first transition is 3359416; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 419927
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 13,017,768
Proper Divisor Sum 6,298,936
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6718819 ← → #6718853

Radix Representation

Decimal 6718832
Binary 11001101000010101110000 (23 bits)
Octal 0o31502560
Hexadecimal 0x668570

Divisor Catalog (10)

1 2 4 8 16 419,927 839,854 1,679,708 3,359,416 6,718,832

Collatz Trajectory (116 steps to reach 1)

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

6,718,832 3,359,416 1,679,708 839,854 419,927 1,259,782 629,891 1,889,674 944,837 2,834,512 1,417,256 708,628 354,314 177,157 531,472 265,736 132,868 66,434 33,217 99,652 49,826 24,913 74,740 37,370 18,685 56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646

More profiles

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