2,031,981

3 × 7² × 23 × 601

2,031,981 factors as 3 × 7^2 × 23 × 601. Its 24 positive divisors give a proper-divisor sum of 1,262,163, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,294,144

Proper Divisor Sum 1,262,163

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2031979 ← → #2031983

Radix Representation

Decimal	2031981
Binary	111110000000101101101 (21 bits)
Octal	0o7600555
Hexadecimal	0x1F016D

Divisor Catalog (24)

Collatz Trajectory (135 steps to reach 1)

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

2,031,981 6,095,944 3,047,972 1,523,986 761,993 2,285,980 1,142,990 571,495 1,714,486 857,243 2,571,730 1,285,865 3,857,596 1,928,798 964,399 2,893,198 1,446,599 4,339,798 2,169,899 6,509,698 3,254,849 9,764,548 4,882,274 2,441,137 7,323,412 3,661,706 1,830,853 5,492,560 2,746,280 1,373,140 686,570 343,285 1,029,856 514,928 257,464 128,732 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889

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