λ
Prime Ledger

1,949,010

2 × 3 × 5 × 7 × 9281
Abundant Even Composite

1,949,010 has the prime decomposition 2 × 3 × 5 × 7 × 9281. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 9281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,346,432
Proper Divisor Sum 3,397,422
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1948993 ← → #1949023

Radix Representation

Decimal 1949010
Binary 111011011110101010010 (21 bits)
Octal 0o7336522
Hexadecimal 0x1DBD52

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 9,281 18,562 27,843 46,405 55,686 64,967 92,810 129,934 139,215 194,901 278,430 324,835 389,802 649,670 974,505 1,949,010

Collatz Trajectory (215 steps to reach 1)

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

1,949,010 974,505 2,923,516 1,461,758 730,879 2,192,638 1,096,319 3,288,958 1,644,479 4,933,438 2,466,719 7,400,158 3,700,079 11,100,238 5,550,119 16,650,358 8,325,179 24,975,538 12,487,769 37,463,308 18,731,654 9,365,827 28,097,482 14,048,741 42,146,224 21,073,112 10,536,556 5,268,278 2,634,139 7,902,418 3,951,209 11,853,628 5,926,814 2,963,407 8,890,222 4,445,111 13,335,334 6,667,667 20,003,002 10,001,501 30,004,504 15,002,252 7,501,126 3,750,563 11,251,690 5,625,845 16,877,536 8,438,768 4,219,384 2,109,692 1,054,846 527,423 1,582,270 791,135 2,373,406 1,186,703 3,560,110 1,780,055 5,340,166 2,670,083

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