λ
Sequence Observatory

4,346,262

2 × 32 × 31 × 7789
Abundant Even Composite

Starting at 4,346,262, the Collatz iteration reaches 1 after 211 steps. The first transition is 2173131; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 7789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,721,920
Proper Divisor Sum 5,375,658
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4346261 ← → #4346267

Radix Representation

Decimal 4346262
Binary 10000100101000110010110 (23 bits)
Octal 0o20450626
Hexadecimal 0x425196

Divisor Catalog (24)

1 2 3 6 9 18 31 62 93 186 279 558 7,789 15,578 23,367 46,734 70,101 140,202 241,459 482,918 724,377 1,448,754 2,173,131 4,346,262

Collatz Trajectory (211 steps to reach 1)

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

4,346,262 2,173,131 6,519,394 3,259,697 9,779,092 4,889,546 2,444,773 7,334,320 3,667,160 1,833,580 916,790 458,395 1,375,186 687,593 2,062,780 1,031,390 515,695 1,547,086 773,543 2,320,630 1,160,315 3,480,946 1,740,473 5,221,420 2,610,710 1,305,355 3,916,066 1,958,033 5,874,100 2,937,050 1,468,525 4,405,576 2,202,788 1,101,394 550,697 1,652,092 826,046 413,023 1,239,070 619,535 1,858,606 929,303 2,787,910 1,393,955 4,181,866 2,090,933 6,272,800 3,136,400 1,568,200 784,100 392,050 196,025 588,076 294,038 147,019 441,058 220,529 661,588 330,794 165,397

More profiles

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