λ
Sequence Observatory

2,662,746

2 × 3 × 443791
Abundant Even Composite

Starting at 2,662,746, the Collatz iteration reaches 1 after 156 steps. The first transition is 1331373; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 443791
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,325,504
Proper Divisor Sum 2,662,758
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2662721 ← → #2662753

Radix Representation

Decimal 2662746
Binary 1010001010000101011010 (22 bits)
Octal 0o12120532
Hexadecimal 0x28A15A

Divisor Catalog (8)

1 2 3 6 443,791 887,582 1,331,373 2,662,746

Collatz Trajectory (156 steps to reach 1)

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

2,662,746 1,331,373 3,994,120 1,997,060 998,530 499,265 1,497,796 748,898 374,449 1,123,348 561,674 280,837 842,512 421,256 210,628 105,314 52,657 157,972 78,986 39,493 118,480 59,240 29,620 14,810 7,405 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

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