14,958

2 × 3³ × 277

Starting at 14,958, the Collatz iteration reaches 1 after 115 steps. The first transition is 7479; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 277

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 33,360

Proper Divisor Sum 18,402

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #14957 ← → #14969

Radix Representation

Decimal	14958
Binary	11101001101110 (14 bits)
Octal	0o35156
Hexadecimal	0x3A6E

Divisor Catalog (16)

1 2 3 6 9 18 27 54 277 554 831 1,662 2,493 4,986 7,479 14,958

Collatz Trajectory (115 steps to reach 1)

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

14,958 7,479 22,438 11,219 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501

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