λ
Prime Ledger

2,017,563

3 × 672521
Deficient Odd Composite

2,017,563 has the prime decomposition 3 × 672521. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 672521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,690,088
Proper Divisor Sum 672,525
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2017549 ← → #2017567

Radix Representation

Decimal 2017563
Binary 111101100100100011011 (21 bits)
Octal 0o7544433
Hexadecimal 0x1EC91B

Divisor Catalog (4)

1 3 672,521 2,017,563

Collatz Trajectory (135 steps to reach 1)

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

2,017,563 6,052,690 3,026,345 9,079,036 4,539,518 2,269,759 6,809,278 3,404,639 10,213,918 5,106,959 15,320,878 7,660,439 22,981,318 11,490,659 34,471,978 17,235,989 51,707,968 25,853,984 12,926,992 6,463,496 3,231,748 1,615,874 807,937 2,423,812 1,211,906 605,953 1,817,860 908,930 454,465 1,363,396 681,698 340,849 1,022,548 511,274 255,637 766,912 383,456 191,728 95,864 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787

More profiles

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