λ
Sequence Observatory

2,698,471

2698471
Deficient Odd Prime

Starting at 2,698,471, the Collatz iteration reaches 1 after 112 steps. The first transition is 8095414; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2698471
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,698,472
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2698463 ← → #2698481

Radix Representation

Decimal 2698471
Binary 1010010010110011100111 (22 bits)
Octal 0o12226347
Hexadecimal 0x292CE7

Divisor Catalog (2)

Collatz Trajectory (112 steps to reach 1)

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

2,698,471 8,095,414 4,047,707 12,143,122 6,071,561 18,214,684 9,107,342 4,553,671 13,661,014 6,830,507 20,491,522 10,245,761 30,737,284 15,368,642 7,684,321 23,052,964 11,526,482 5,763,241 17,289,724 8,644,862 4,322,431 12,967,294 6,483,647 19,450,942 9,725,471 29,176,414 14,588,207 43,764,622 21,882,311 65,646,934 32,823,467 98,470,402 49,235,201 147,705,604 73,852,802 36,926,401 110,779,204 55,389,602 27,694,801 83,084,404 41,542,202 20,771,101 62,313,304 31,156,652 15,578,326 7,789,163 23,367,490 11,683,745 35,051,236 17,525,618 8,762,809 26,288,428 13,144,214 6,572,107 19,716,322 9,858,161 29,574,484 14,787,242 7,393,621 22,180,864

More profiles

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