λ
Sequence Observatory

280,503

34 × 3463
Deficient Odd Composite

Starting at 280,503, the Collatz iteration reaches 1 after 70 steps. The first transition is 841510; the starting value is odd with 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 3463
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 419,144
Proper Divisor Sum 138,641
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #280499 ← → #280507

Radix Representation

Decimal 280503
Binary 1000100011110110111 (19 bits)
Octal 0o1043667
Hexadecimal 0x447B7

Divisor Catalog (10)

1 3 9 27 81 3,463 10,389 31,167 93,501 280,503

Collatz Trajectory (70 steps to reach 1)

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

280,503 841,510 420,755 1,262,266 631,133 1,893,400 946,700 473,350 236,675 710,026 355,013 1,065,040 532,520 266,260 133,130 66,565 199,696 99,848 49,924 24,962 12,481 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52

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