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795,204

22 × 33 × 37 × 199
Abundant Even Composite

795,204 factors as 2^2 × 3^3 × 37 × 199. Its 48 positive divisors give a proper-divisor sum of 1,332,796, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,128,000
Proper Divisor Sum 1,332,796
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #795203 ← → #795211

Radix Representation

Decimal 795204
Binary 11000010001001000100 (20 bits)
Octal 0o3021104
Hexadecimal 0xC2244

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 199 222 333 398 444 597 666 796 999 1,194 1,332 1,791 1,998 2,388 3,582 3,996 5,373 7,164 7,363 10,746 14,726 21,492 22,089 29,452 44,178 66,267 88,356 132,534 198,801 265,068 397,602 795,204

Collatz Trajectory (175 steps to reach 1)

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

795,204 397,602 198,801 596,404 298,202 149,101 447,304 223,652 111,826 55,913 167,740 83,870 41,935 125,806 62,903 188,710 94,355 283,066 141,533 424,600 212,300 106,150 53,075 159,226 79,613 238,840 119,420 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622 322,811 968,434 484,217 1,452,652 726,326 363,163 1,089,490

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