λ
Sequence Observatory

3,101,020

22 × 5 × 13 × 11927
Abundant Even Composite

Starting at 3,101,020, the Collatz iteration reaches 1 after 76 steps. The first transition is 1550510; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 11927
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,013,664
Proper Divisor Sum 3,912,644
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #3100991 ← → #3101029

Radix Representation

Decimal 3101020
Binary 1011110101000101011100 (22 bits)
Octal 0o13650534
Hexadecimal 0x2F515C

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 11,927 23,854 47,708 59,635 119,270 155,051 238,540 310,102 620,204 775,255 1,550,510 3,101,020

Collatz Trajectory (76 steps to reach 1)

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

3,101,020 1,550,510 775,255 2,325,766 1,162,883 3,488,650 1,744,325 5,232,976 2,616,488 1,308,244 654,122 327,061 981,184 490,592 245,296 122,648 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92

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