2,004,064

2⁵ × 62627

2,004,064 factors as 2^5 × 62627. Its 12 positive divisors give a proper-divisor sum of 1,941,500, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 62627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,945,564

Proper Divisor Sum 1,941,500

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2004049 ← → #2004073

Radix Representation

Decimal	2004064
Binary	111101001010001100000 (21 bits)
Octal	0o7512140
Hexadecimal	0x1E9460

Divisor Catalog (12)

1 2 4 8 16 32 62,627 125,254 250,508 501,016 1,002,032 2,004,064

Collatz Trajectory (91 steps to reach 1)

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

2,004,064 1,002,032 501,016 250,508 125,254 62,627 187,882 93,941 281,824 140,912 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59

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