λ
Prime Ledger

314,264

23 × 163 × 241
Deficient Even Composite

314,264 has the prime decomposition 2^3 × 163 × 241. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 163 × 241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 595,320
Proper Divisor Sum 281,056
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #314263 ← → #314267

Radix Representation

Decimal 314264
Binary 1001100101110011000 (19 bits)
Octal 0o1145630
Hexadecimal 0x4CB98

Divisor Catalog (16)

1 2 4 8 163 241 326 482 652 964 1,304 1,928 39,283 78,566 157,132 314,264

Collatz Trajectory (78 steps to reach 1)

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

314,264 157,132 78,566 39,283 117,850 58,925 176,776 88,388 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56

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