λ
Prime Ledger

855,348

22 × 3 × 13 × 5483
Abundant Even Composite

855,348 has the prime decomposition 2^2 × 3 × 13 × 5483. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 5483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,149,728
Proper Divisor Sum 1,294,380
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #855331 ← → #855359

Radix Representation

Decimal 855348
Binary 11010000110100110100 (20 bits)
Octal 0o3206464
Hexadecimal 0xD0D34

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 5,483 10,966 16,449 21,932 32,898 65,796 71,279 142,558 213,837 285,116 427,674 855,348

Collatz Trajectory (74 steps to reach 1)

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

855,348 427,674 213,837 641,512 320,756 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151

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