746,340

2² × 3 × 5 × 7 × 1777

746,340 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 7 × 1777 and its 48 divisors sum to 2,389,632.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 1777

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,389,632

Proper Divisor Sum 1,643,292

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #746329 ← → #746353

Radix Representation

Decimal	746340
Binary	10110110001101100100 (20 bits)
Octal	0o2661544
Hexadecimal	0xB6364

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1,777 3,554 5,331 7,108 8,885 10,662 12,439 17,770 21,324 24,878 26,655 35,540 37,317 49,756 53,310 62,195 74,634 106,620 124,390 149,268 186,585 248,780 373,170 746,340

Collatz Trajectory (61 steps to reach 1)

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

746,340 373,170 186,585 559,756 279,878 139,939 419,818 209,909 629,728 314,864 157,432 78,716 39,358 19,679 59,038 29,519 88,558 44,279 132,838 66,419 199,258 99,629 298,888 149,444 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

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