254,683

11 × 13² × 137

Starting at 254,683, the Collatz iteration reaches 1 after 106 steps. The first transition is 764050; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11 × 13^2 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 303,048

Proper Divisor Sum 48,365

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #254663 ← → #254699

Radix Representation

Decimal	254683
Binary	111110001011011011 (18 bits)
Octal	0o761333
Hexadecimal	0x3E2DB

Divisor Catalog (12)

1 11 13 137 143 169 1,507 1,781 1,859 19,591 23,153 254,683

Collatz Trajectory (106 steps to reach 1)

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

254,683 764,050 382,025 1,146,076 573,038 286,519 859,558 429,779 1,289,338 644,669 1,934,008 967,004 483,502 241,751 725,254 362,627 1,087,882 543,941 1,631,824 815,912 407,956 203,978 101,989 305,968 152,984 76,492 38,246 19,123 57,370 28,685 86,056 43,028 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 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

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