493,559

11² × 4079

Starting at 493,559, the Collatz iteration reaches 1 after 138 steps. The first transition is 1480678; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 4079

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 542,640

Proper Divisor Sum 49,081

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #493541 ← → #493567

Radix Representation

Decimal	493559
Binary	1111000011111110111 (19 bits)
Octal	0o1703767
Hexadecimal	0x787F7

Divisor Catalog (6)

1 11 121 4,079 44,869 493,559

Collatz Trajectory (138 steps to reach 1)

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

493,559 1,480,678 740,339 2,221,018 1,110,509 3,331,528 1,665,764 832,882 416,441 1,249,324 624,662 312,331 936,994 468,497 1,405,492 702,746 351,373 1,054,120 527,060 263,530 131,765 395,296 197,648 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526

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