λ
Sequence Observatory

7,485,106

2 × 67 × 83 × 673
Deficient Even Composite

Starting at 7,485,106, the Collatz iteration reaches 1 after 54 steps. The first transition is 3742553; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 67 × 83 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,549,664
Proper Divisor Sum 4,064,558
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7485091 ← → #7485131

Radix Representation

Decimal 7485106
Binary 11100100011011010110010 (23 bits)
Octal 0o34433262
Hexadecimal 0x7236B2

Divisor Catalog (16)

1 2 67 83 134 166 673 1,346 5,561 11,122 45,091 55,859 90,182 111,718 3,742,553 7,485,106

Collatz Trajectory (54 steps to reach 1)

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

7,485,106 3,742,553 11,227,660 5,613,830 2,806,915 8,420,746 4,210,373 12,631,120 6,315,560 3,157,780 1,578,890 789,445 2,368,336 1,184,168 592,084 296,042 148,021 444,064 222,032 111,016 55,508 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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