3,003,952

2⁴ × 7 × 26821

3,003,952 has the prime decomposition 2^4 × 7 × 26821. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 26821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,651,856

Proper Divisor Sum 3,647,904

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3003943 ← → #3003967

Radix Representation

Decimal	3003952
Binary	1011011101011000110000 (22 bits)
Octal	0o13353060
Hexadecimal	0x2DD630

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 26,821 53,642 107,284 187,747 214,568 375,494 429,136 750,988 1,501,976 3,003,952

Collatz Trajectory (89 steps to reach 1)

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

3,003,952 1,501,976 750,988 375,494 187,747 563,242 281,621 844,864 422,432 211,216 105,608 52,804 26,402 13,201 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 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 59 178 89

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