4,052,672

2⁶ × 13 × 4871

4,052,672 has the prime decomposition 2^6 × 13 × 4871. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 13 × 4871

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 8,662,416

Proper Divisor Sum 4,609,744

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4052627 ← → #4052683

Radix Representation

Decimal	4052672
Binary	1111011101011011000000 (22 bits)
Octal	0o17353300
Hexadecimal	0x3DD6C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 4,871 9,742 19,484 38,968 63,323 77,936 126,646 155,872 253,292 311,744 506,584 1,013,168 2,026,336 4,052,672

Collatz Trajectory (84 steps to reach 1)

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

4,052,672 2,026,336 1,013,168 506,584 253,292 126,646 63,323 189,970 94,985 284,956 142,478 71,239 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292

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