λ
Prime Ledger

323,890

2 × 5 × 72 × 661
Abundant Even Composite

323,890 has the prime decomposition 2 × 5 × 7^2 × 661. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 679,212
Proper Divisor Sum 355,322
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #323879 ← → #323899

Radix Representation

Decimal 323890
Binary 1001111000100110010 (19 bits)
Octal 0o1170462
Hexadecimal 0x4F132

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 661 1,322 3,305 4,627 6,610 9,254 23,135 32,389 46,270 64,778 161,945 323,890

Collatz Trajectory (215 steps to reach 1)

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

323,890 161,945 485,836 242,918 121,459 364,378 182,189 546,568 273,284 136,642 68,321 204,964 102,482 51,241 153,724 76,862 38,431 115,294 57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758

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