446,532

2² × 3 × 127 × 293

Starting at 446,532, the Collatz iteration reaches 1 after 138 steps. The first transition is 223266; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 127 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,053,696

Proper Divisor Sum 607,164

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #446503 ← → #446533

Radix Representation

Decimal	446532
Binary	1101101000001000100 (19 bits)
Octal	0o1550104
Hexadecimal	0x6D044

Divisor Catalog (24)

1 2 3 4 6 12 127 254 293 381 508 586 762 879 1,172 1,524 1,758 3,516 37,211 74,422 111,633 148,844 223,266 446,532

Collatz Trajectory (138 steps to reach 1)

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

446,532 223,266 111,633 334,900 167,450 83,725 251,176 125,588 62,794 31,397 94,192 47,096 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834

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