λ
Sequence Observatory

3,120,028

22 × 19 × 61 × 673
Deficient Even Composite

Starting at 3,120,028, the Collatz iteration reaches 1 after 195 steps. The first transition is 1560014; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 61 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,850,320
Proper Divisor Sum 2,730,292
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3120017 ← → #3120067

Radix Representation

Decimal 3120028
Binary 1011111001101110011100 (22 bits)
Octal 0o13715634
Hexadecimal 0x2F9B9C

Divisor Catalog (24)

1 2 4 19 38 61 76 122 244 673 1,159 1,346 2,318 2,692 4,636 12,787 25,574 41,053 51,148 82,106 164,212 780,007 1,560,014 3,120,028

Collatz Trajectory (195 steps to reach 1)

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

3,120,028 1,560,014 780,007 2,340,022 1,170,011 3,510,034 1,755,017 5,265,052 2,632,526 1,316,263 3,948,790 1,974,395 5,923,186 2,961,593 8,884,780 4,442,390 2,221,195 6,663,586 3,331,793 9,995,380 4,997,690 2,498,845 7,496,536 3,748,268 1,874,134 937,067 2,811,202 1,405,601 4,216,804 2,108,402 1,054,201 3,162,604 1,581,302 790,651 2,371,954 1,185,977 3,557,932 1,778,966 889,483 2,668,450 1,334,225 4,002,676 2,001,338 1,000,669 3,002,008 1,501,004 750,502 375,251 1,125,754 562,877 1,688,632 844,316 422,158 211,079 633,238 316,619 949,858 474,929 1,424,788 712,394

More profiles

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