2,041,024

2⁶ × 31891

2,041,024 factors as 2^6 × 31891. Its 14 positive divisors give a proper-divisor sum of 2,009,260, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^6 × 31891

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 4,050,284

Proper Divisor Sum 2,009,260

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2041001 ← → #2041027

Radix Representation

Decimal	2041024
Binary	111110010010011000000 (21 bits)
Octal	0o7622300
Hexadecimal	0x1F24C0

Divisor Catalog (14)

1 2 4 8 16 32 64 31,891 63,782 127,564 255,128 510,256 1,020,512 2,041,024

Collatz Trajectory (65 steps to reach 1)

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

2,041,024 1,020,512 510,256 255,128 127,564 63,782 31,891 95,674 47,837 143,512 71,756 35,878 17,939 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10

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