λ
Sequence Observatory

545,274

2 × 32 × 30293
Abundant Even Composite

Starting at 545,274, the Collatz iteration reaches 1 after 45 steps. The first transition is 272637; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 30293
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,181,466
Proper Divisor Sum 636,192
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #545267 ← → #545291

Radix Representation

Decimal 545274
Binary 10000101000111111010 (20 bits)
Octal 0o2050772
Hexadecimal 0x851FA

Divisor Catalog (12)

1 2 3 6 9 18 30,293 60,586 90,879 181,758 272,637 545,274

Collatz Trajectory (45 steps to reach 1)

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

545,274 272,637 817,912 408,956 204,478 102,239 306,718 153,359 460,078 230,039 690,118 345,059 1,035,178 517,589 1,552,768 776,384 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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