λ
Sequence Observatory

544,293

33 × 19 × 1061
Deficient Odd Composite

Starting at 544,293, the Collatz iteration reaches 1 after 63 steps. The first transition is 1632880; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 19 × 1061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 849,600
Proper Divisor Sum 305,307
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #544279 ← → #544367

Radix Representation

Decimal 544293
Binary 10000100111000100101 (20 bits)
Octal 0o2047045
Hexadecimal 0x84E25

Divisor Catalog (16)

1 3 9 19 27 57 171 513 1,061 3,183 9,549 20,159 28,647 60,477 181,431 544,293

Collatz Trajectory (63 steps to reach 1)

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

544,293 1,632,880 816,440 408,220 204,110 102,055 306,166 153,083 459,250 229,625 688,876 344,438 172,219 516,658 258,329 774,988 387,494 193,747 581,242 290,621 871,864 435,932 217,966 108,983 326,950 163,475 490,426 245,213 735,640 367,820 183,910 91,955 275,866 137,933 413,800 206,900 103,450 51,725 155,176 77,588 38,794 19,397 58,192 29,096 14,548 7,274 3,637 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16

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