650,880

2⁷ × 3² × 5 × 113

Starting at 650,880, the Collatz iteration reaches 1 after 40 steps. The first transition is 325440; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,267,460

Proper Divisor Sum 1,616,580

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #650873 ← → #650911

Radix Representation

Decimal	650880
Binary	10011110111010000000 (20 bits)
Octal	0o2367200
Hexadecimal	0x9EE80

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 113 120 128 144 160 180 192 226 240 288 320 339 360 384 452 480 565 576 640 678 720 904 960 1,017 1,130 1,152 1,356 1,440 1,695 1,808 1,920 2,034 2,260

Collatz Trajectory (40 steps to reach 1)

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

650,880 325,440 162,720 81,360 40,680 20,340 10,170 5,085 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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