1,968,640

2⁹ × 5 × 769

Starting at 1,968,640, the Collatz iteration reaches 1 after 60 steps. The first transition is 984320; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 5 × 769

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,726,260

Proper Divisor Sum 2,757,620

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1968613 ← → #1968641

Radix Representation

Decimal	1968640
Binary	111100000101000000000 (21 bits)
Octal	0o7405000
Hexadecimal	0x1E0A00

Divisor Catalog (40)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 769 1,280 1,538 2,560 3,076 3,845 6,152 7,690 12,304 15,380 24,608 30,760 49,216 61,520 98,432 123,040 196,864 246,080 393,728 492,160 984,320 1,968,640

Collatz Trajectory (60 steps to reach 1)

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

1,968,640 984,320 492,160 246,080 123,040 61,520 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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