646,944

2⁵ × 3 × 23 × 293

646,944 factors as 2^5 × 3 × 23 × 293. Its 48 positive divisors give a proper-divisor sum of 1,131,168, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 23 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,778,112

Proper Divisor Sum 1,131,168

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #646937 ← → #646957

Radix Representation

Decimal	646944
Binary	10011101111100100000 (20 bits)
Octal	0o2357440
Hexadecimal	0x9DF20

Divisor Catalog (48)

1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 293 368 552 586 736 879 1,104 1,172 1,758 2,208 2,344 3,516 4,688 6,739 7,032 9,376 13,478 14,064 20,217 26,956 28,128 40,434 53,912 80,868 107,824 161,736 215,648 323,472 646,944

Collatz Trajectory (92 steps to reach 1)

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

646,944 323,472 161,736 80,868 40,434 20,217 60,652 30,326 15,163 45,490 22,745 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688

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