λ
Prime Ledger

345,023

7 × 23 × 2143
Deficient Odd Composite

345,023 has the prime decomposition 7 × 23 × 2143. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 2143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 411,648
Proper Divisor Sum 66,625
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #345019 ← → #345041

Radix Representation

Decimal 345023
Binary 1010100001110111111 (19 bits)
Octal 0o1241677
Hexadecimal 0x543BF

Divisor Catalog (8)

1 7 23 161 2,143 15,001 49,289 345,023

Collatz Trajectory (259 steps to reach 1)

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

345,023 1,035,070 517,535 1,552,606 776,303 2,328,910 1,164,455 3,493,366 1,746,683 5,240,050 2,620,025 7,860,076 3,930,038 1,965,019 5,895,058 2,947,529 8,842,588 4,421,294 2,210,647 6,631,942 3,315,971 9,947,914 4,973,957 14,921,872 7,460,936 3,730,468 1,865,234 932,617 2,797,852 1,398,926 699,463 2,098,390 1,049,195 3,147,586 1,573,793 4,721,380 2,360,690 1,180,345 3,541,036 1,770,518 885,259 2,655,778 1,327,889 3,983,668 1,991,834 995,917 2,987,752 1,493,876 746,938 373,469 1,120,408 560,204 280,102 140,051 420,154 210,077 630,232 315,116 157,558 78,779

More profiles

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