λ
Sequence Observatory

2,666,544

24 × 3 × 73 × 761
Abundant Even Composite

Starting at 2,666,544, the Collatz iteration reaches 1 after 262 steps. The first transition is 1333272; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 73 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,992,112
Proper Divisor Sum 4,325,568
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2666539 ← → #2666561

Radix Representation

Decimal 2666544
Binary 1010001011000000110000 (22 bits)
Octal 0o12130060
Hexadecimal 0x28B030

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 761 876 1,168 1,522 1,752 2,283 3,044 3,504 4,566 6,088 9,132 12,176 18,264 36,528 55,553 111,106 166,659 222,212 333,318 444,424 666,636 888,848 1,333,272 2,666,544

Collatz Trajectory (262 steps to reach 1)

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

2,666,544 1,333,272 666,636 333,318 166,659 499,978 249,989 749,968 374,984 187,492 93,746 46,873 140,620 70,310 35,155 105,466 52,733 158,200 79,100 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486

More profiles

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