450,390

2 × 3 × 5 × 15013

Starting at 450,390, the Collatz iteration reaches 1 after 112 steps. The first transition is 225195; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 15013

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,081,008

Proper Divisor Sum 630,618

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #450383 ← → #450391

Radix Representation

Decimal	450390
Binary	1101101111101010110 (19 bits)
Octal	0o1557526
Hexadecimal	0x6DF56

Divisor Catalog (16)

1 2 3 5 6 10 15 30 15,013 30,026 45,039 75,065 90,078 150,130 225,195 450,390

Collatz Trajectory (112 steps to reach 1)

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

450,390 225,195 675,586 337,793 1,013,380 506,690 253,345 760,036 380,018 190,009 570,028 285,014 142,507 427,522 213,761 641,284 320,642 160,321 480,964 240,482 120,241 360,724 180,362 90,181 270,544 135,272 67,636 33,818 16,909 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479

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