323,244

2² × 3³ × 41 × 73

323,244 factors as 2^2 × 3^3 × 41 × 73. Its 48 positive divisors give a proper-divisor sum of 546,996, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 870,240

Proper Divisor Sum 546,996

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #323243 ← → #323249

Radix Representation

Decimal	323244
Binary	1001110111010101100 (19 bits)
Octal	0o1167254
Hexadecimal	0x4EEAC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 41 54 73 82 108 123 146 164 219 246 292 369 438 492 657 738 876 1,107 1,314 1,476 1,971 2,214 2,628 2,993 3,942 4,428 5,986 7,884 8,979 11,972 17,958 26,937 35,916 53,874 80,811 107,748 161,622 323,244

Collatz Trajectory (215 steps to reach 1)

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

323,244 161,622 80,811 242,434 121,217 363,652 181,826 90,913 272,740 136,370 68,185 204,556 102,278 51,139 153,418 76,709 230,128 115,064 57,532 28,766 14,383 43,150 21,575 64,726 32,363 97,090 48,545 145,636 72,818 36,409 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305

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