λ
Sequence Observatory

3,009,700

22 × 52 × 30097
Abundant Even Composite

Starting at 3,009,700, the Collatz iteration reaches 1 after 151 steps. The first transition is 1504850; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 30097
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,531,266
Proper Divisor Sum 3,521,566
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3009689 ← → #3009701

Radix Representation

Decimal 3009700
Binary 1011011110110010100100 (22 bits)
Octal 0o13366244
Hexadecimal 0x2DECA4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 30,097 60,194 120,388 150,485 300,970 601,940 752,425 1,504,850 3,009,700

Collatz Trajectory (151 steps to reach 1)

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

3,009,700 1,504,850 752,425 2,257,276 1,128,638 564,319 1,692,958 846,479 2,539,438 1,269,719 3,809,158 1,904,579 5,713,738 2,856,869 8,570,608 4,285,304 2,142,652 1,071,326 535,663 1,606,990 803,495 2,410,486 1,205,243 3,615,730 1,807,865 5,423,596 2,711,798 1,355,899 4,067,698 2,033,849 6,101,548 3,050,774 1,525,387 4,576,162 2,288,081 6,864,244 3,432,122 1,716,061 5,148,184 2,574,092 1,287,046 643,523 1,930,570 965,285 2,895,856 1,447,928 723,964 361,982 180,991 542,974 271,487 814,462 407,231 1,221,694 610,847 1,832,542 916,271 2,748,814 1,374,407 4,123,222

More profiles

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