λ
Sequence Observatory

2,756,234

2 × 13 × 227 × 467
Deficient Even Composite

Starting at 2,756,234, the Collatz iteration reaches 1 after 81 steps. The first transition is 1378117; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 227 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,481,568
Proper Divisor Sum 1,725,334
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2756219 ← → #2756249

Radix Representation

Decimal 2756234
Binary 1010100000111010001010 (22 bits)
Octal 0o12407212
Hexadecimal 0x2A0E8A

Divisor Catalog (16)

1 2 13 26 227 454 467 934 2,951 5,902 6,071 12,142 106,009 212,018 1,378,117 2,756,234

Collatz Trajectory (81 steps to reach 1)

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

2,756,234 1,378,117 4,134,352 2,067,176 1,033,588 516,794 258,397 775,192 387,596 193,798 96,899 290,698 145,349 436,048 218,024 109,012 54,506 27,253 81,760 40,880 20,440 10,220 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

More profiles

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