2,003,964

2² × 3 × 31 × 5387

2,003,964 has the prime decomposition 2^2 × 3 × 31 × 5387. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 5387

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,827,648

Proper Divisor Sum 2,823,684

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2003959 ← → #2003971

Radix Representation

Decimal	2003964
Binary	111101001001111111100 (21 bits)
Octal	0o7511774
Hexadecimal	0x1E93FC

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 5,387 10,774 16,161 21,548 32,322 64,644 166,997 333,994 500,991 667,988 1,001,982 2,003,964

Collatz Trajectory (166 steps to reach 1)

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

2,003,964 1,001,982 500,991 1,502,974 751,487 2,254,462 1,127,231 3,381,694 1,690,847 5,072,542 2,536,271 7,608,814 3,804,407 11,413,222 5,706,611 17,119,834 8,559,917 25,679,752 12,839,876 6,419,938 3,209,969 9,629,908 4,814,954 2,407,477 7,222,432 3,611,216 1,805,608 902,804 451,402 225,701 677,104 338,552 169,276 84,638 42,319 126,958 63,479 190,438 95,219 285,658 142,829 428,488 214,244 107,122 53,561 160,684 80,342 40,171 120,514 60,257 180,772 90,386 45,193 135,580 67,790 33,895 101,686 50,843 152,530 76,265

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