794,220

2² × 3 × 5 × 7 × 31 × 61

794,220 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 7 × 31 × 61 and its 96 divisors sum to 2,666,496.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 31 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,666,496

Proper Divisor Sum 1,872,276

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #794207 ← → #794221

Radix Representation

Decimal	794220
Binary	11000001111001101100 (20 bits)
Octal	0o3017154
Hexadecimal	0xC1E6C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 61 62 70 84 93 105 122 124 140 155 183 186 210 217 244 305 310 366 372 420 427 434 465 610 620 651 732 854 868 915 930 1,085 1,220 1,281 1,302 1,708 1,830 1,860 1,891 2,135 2,170

Collatz Trajectory (193 steps to reach 1)

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

794,220 397,110 198,555 595,666 297,833 893,500 446,750 223,375 670,126 335,063 1,005,190 502,595 1,507,786 753,893 2,261,680 1,130,840 565,420 282,710 141,355 424,066 212,033 636,100 318,050 159,025 477,076 238,538 119,269 357,808 178,904 89,452 44,726 22,363 67,090 33,545 100,636 50,318 25,159 75,478 37,739 113,218 56,609 169,828 84,914 42,457 127,372 63,686 31,843 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039

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