126,369

3² × 19 × 739

Starting at 126,369, the Collatz iteration reaches 1 after 87 steps. The first transition is 379108; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 192,400

Proper Divisor Sum 66,031

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #126359 ← → #126397

Radix Representation

Decimal	126369
Binary	11110110110100001 (17 bits)
Octal	0o366641
Hexadecimal	0x1EDA1

Divisor Catalog (12)

1 3 9 19 57 171 739 2,217 6,651 14,041 42,123 126,369

Collatz Trajectory (87 steps to reach 1)

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

126,369 379,108 189,554 94,777 284,332 142,166 71,083 213,250 106,625 319,876 159,938 79,969 239,908 119,954 59,977 179,932 89,966 44,983 134,950 67,475 202,426 101,213 303,640 151,820 75,910 37,955 113,866 56,933 170,800 85,400 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808

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