λ
Prime Ledger

380,519

109 × 3491
Deficient Odd Composite

380,519 has the prime decomposition 109 × 3491. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 109 × 3491
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 384,120
Proper Divisor Sum 3,601
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #380503 ← → #380533

Radix Representation

Decimal 380519
Binary 1011100111001100111 (19 bits)
Octal 0o1347147
Hexadecimal 0x5CE67

Divisor Catalog (4)

1 109 3,491 380,519

Collatz Trajectory (78 steps to reach 1)

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

380,519 1,141,558 570,779 1,712,338 856,169 2,568,508 1,284,254 642,127 1,926,382 963,191 2,889,574 1,444,787 4,334,362 2,167,181 6,501,544 3,250,772 1,625,386 812,693 2,438,080 1,219,040 609,520 304,760 152,380 76,190 38,095 114,286 57,143 171,430 85,715 257,146 128,573 385,720 192,860 96,430 48,215 144,646 72,323 216,970 108,485 325,456 162,728 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416

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