λ
Sequence Observatory

6,748,009

6748009
Deficient Odd Prime

Starting at 6,748,009, the Collatz iteration reaches 1 after 108 steps. The first transition is 20244028; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6748009
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,748,010
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6747989 ← → #6748043

Radix Representation

Decimal 6748009
Binary 11001101111011101101001 (23 bits)
Octal 0o31573551
Hexadecimal 0x66F769

Divisor Catalog (2)

Collatz Trajectory (108 steps to reach 1)

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

6,748,009 20,244,028 10,122,014 5,061,007 15,183,022 7,591,511 22,774,534 11,387,267 34,161,802 17,080,901 51,242,704 25,621,352 12,810,676 6,405,338 3,202,669 9,608,008 4,804,004 2,402,002 1,201,001 3,603,004 1,801,502 900,751 2,702,254 1,351,127 4,053,382 2,026,691 6,080,074 3,040,037 9,120,112 4,560,056 2,280,028 1,140,014 570,007 1,710,022 855,011 2,565,034 1,282,517 3,847,552 1,923,776 961,888 480,944 240,472 120,236 60,118 30,059 90,178 45,089 135,268 67,634 33,817 101,452 50,726 25,363 76,090 38,045 114,136 57,068 28,534 14,267 42,802

More profiles

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