λ
Sequence Observatory

3,096,798

2 × 3 × 103 × 5011
Abundant Even Composite

Starting at 3,096,798, the Collatz iteration reaches 1 after 288 steps. The first transition is 1548399; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 103 × 5011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,254,976
Proper Divisor Sum 3,158,178
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3096757 ← → #3096811

Radix Representation

Decimal 3096798
Binary 1011110100000011011110 (22 bits)
Octal 0o13640336
Hexadecimal 0x2F40DE

Divisor Catalog (16)

1 2 3 6 103 206 309 618 5,011 10,022 15,033 30,066 516,133 1,032,266 1,548,399 3,096,798

Collatz Trajectory (288 steps to reach 1)

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

3,096,798 1,548,399 4,645,198 2,322,599 6,967,798 3,483,899 10,451,698 5,225,849 15,677,548 7,838,774 3,919,387 11,758,162 5,879,081 17,637,244 8,818,622 4,409,311 13,227,934 6,613,967 19,841,902 9,920,951 29,762,854 14,881,427 44,644,282 22,322,141 66,966,424 33,483,212 16,741,606 8,370,803 25,112,410 12,556,205 37,668,616 18,834,308 9,417,154 4,708,577 14,125,732 7,062,866 3,531,433 10,594,300 5,297,150 2,648,575 7,945,726 3,972,863 11,918,590 5,959,295 17,877,886 8,938,943 26,816,830 13,408,415 40,225,246 20,112,623 60,337,870 30,168,935 90,506,806 45,253,403 135,760,210 67,880,105 203,640,316 101,820,158 50,910,079 152,730,238

More profiles

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