λ
Sequence Observatory

2,734,428

22 × 3 × 227869
Abundant Even Composite

Starting at 2,734,428, the Collatz iteration reaches 1 after 81 steps. The first transition is 1367214; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 227869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,380,360
Proper Divisor Sum 3,645,932
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2734421 ← → #2734441

Radix Representation

Decimal 2734428
Binary 1010011011100101011100 (22 bits)
Octal 0o12334534
Hexadecimal 0x29B95C

Divisor Catalog (12)

1 2 3 4 6 12 227,869 455,738 683,607 911,476 1,367,214 2,734,428

Collatz Trajectory (81 steps to reach 1)

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

2,734,428 1,367,214 683,607 2,050,822 1,025,411 3,076,234 1,538,117 4,614,352 2,307,176 1,153,588 576,794 288,397 865,192 432,596 216,298 108,149 324,448 162,224 81,112 40,556 20,278 10,139 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896

More profiles

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