λ
Sequence Observatory

2,711,341

2711341
Deficient Odd Prime

Starting at 2,711,341, the Collatz iteration reaches 1 after 138 steps. The first transition is 8134024; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2711341
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,711,342
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2711339 ← → #2711351

Radix Representation

Decimal 2711341
Binary 1010010101111100101101 (22 bits)
Octal 0o12257455
Hexadecimal 0x295F2D

Divisor Catalog (2)

Collatz Trajectory (138 steps to reach 1)

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

2,711,341 8,134,024 4,067,012 2,033,506 1,016,753 3,050,260 1,525,130 762,565 2,287,696 1,143,848 571,924 285,962 142,981 428,944 214,472 107,236 53,618 26,809 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224

More profiles

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