831,344

2⁴ × 223 × 233

Starting at 831,344, the Collatz iteration reaches 1 after 56 steps. The first transition is 415672; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 223 × 233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,624,896

Proper Divisor Sum 793,552

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #831329 ← → #831361

Radix Representation

Decimal	831344
Binary	11001010111101110000 (20 bits)
Octal	0o3127560
Hexadecimal	0xCAF70

Divisor Catalog (20)

1 2 4 8 16 223 233 446 466 892 932 1,784 1,864 3,568 3,728 51,959 103,918 207,836 415,672 831,344

Collatz Trajectory (56 steps to reach 1)

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

831,344 415,672 207,836 103,918 51,959 155,878 77,939 233,818 116,909 350,728 175,364 87,682 43,841 131,524 65,762 32,881 98,644 49,322 24,661 73,984 36,992 18,496 9,248 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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