λ
Prime Ledger

3,481,047

32 × 19 × 20357
Deficient Odd Composite

3,481,047 has the prime decomposition 3^2 × 19 × 20357. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 20357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,293,080
Proper Divisor Sum 1,812,033
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3481043 ← → #3481069

Radix Representation

Decimal 3481047
Binary 1101010001110111010111 (22 bits)
Octal 0o15216727
Hexadecimal 0x351DD7

Divisor Catalog (12)

1 3 9 19 57 171 20,357 61,071 183,213 386,783 1,160,349 3,481,047

Collatz Trajectory (97 steps to reach 1)

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

3,481,047 10,443,142 5,221,571 15,664,714 7,832,357 23,497,072 11,748,536 5,874,268 2,937,134 1,468,567 4,405,702 2,202,851 6,608,554 3,304,277 9,912,832 4,956,416 2,478,208 1,239,104 619,552 309,776 154,888 77,444 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614

More profiles

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