λ
Sequence Observatory

6,418,677

3 × 1307 × 1637
Deficient Odd Composite

Starting at 6,418,677, the Collatz iteration reaches 1 after 72 steps. The first transition is 19256032; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1307 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,570,016
Proper Divisor Sum 2,151,339
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6418663 ← → #6418693

Radix Representation

Decimal 6418677
Binary 11000011111000011110101 (23 bits)
Octal 0o30370365
Hexadecimal 0x61F0F5

Divisor Catalog (8)

1 3 1,307 1,637 3,921 4,911 2,139,559 6,418,677

Collatz Trajectory (72 steps to reach 1)

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

6,418,677 19,256,032 9,628,016 4,814,008 2,407,004 1,203,502 601,751 1,805,254 902,627 2,707,882 1,353,941 4,061,824 2,030,912 1,015,456 507,728 253,864 126,932 63,466 31,733 95,200 47,600 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34

More profiles

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