450,438

2 × 3 × 37 × 2029

Starting at 450,438, the Collatz iteration reaches 1 after 231 steps. The first transition is 225219; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 2029

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 925,680

Proper Divisor Sum 475,242

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #450431 ← → #450451

Radix Representation

Decimal	450438
Binary	1101101111110000110 (19 bits)
Octal	0o1557606
Hexadecimal	0x6DF86

Divisor Catalog (16)

1 2 3 6 37 74 111 222 2,029 4,058 6,087 12,174 75,073 150,146 225,219 450,438

Collatz Trajectory (231 steps to reach 1)

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

450,438 225,219 675,658 337,829 1,013,488 506,744 253,372 126,686 63,343 190,030 95,015 285,046 142,523 427,570 213,785 641,356 320,678 160,339 481,018 240,509 721,528 360,764 180,382 90,191 270,574 135,287 405,862 202,931 608,794 304,397 913,192 456,596 228,298 114,149 342,448 171,224 85,612 42,806 21,403 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144

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