λ
Sequence Observatory

6,518,209

6518209
Deficient Odd Prime

Starting at 6,518,209, the Collatz iteration reaches 1 after 209 steps. The first transition is 19554628; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6518209
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,518,210
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6518173 ← → #6518227

Radix Representation

Decimal 6518209
Binary 11000110111010111000001 (23 bits)
Octal 0o30672701
Hexadecimal 0x6375C1

Divisor Catalog (2)

1 6,518,209

Collatz Trajectory (209 steps to reach 1)

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

6,518,209 19,554,628 9,777,314 4,888,657 14,665,972 7,332,986 3,666,493 10,999,480 5,499,740 2,749,870 1,374,935 4,124,806 2,062,403 6,187,210 3,093,605 9,280,816 4,640,408 2,320,204 1,160,102 580,051 1,740,154 870,077 2,610,232 1,305,116 652,558 326,279 978,838 489,419 1,468,258 734,129 2,202,388 1,101,194 550,597 1,651,792 825,896 412,948 206,474 103,237 309,712 154,856 77,428 38,714 19,357 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350

More profiles

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