4,166,421

3 × 7³ × 4049

4,166,421 has the prime decomposition 3 × 7^3 × 4049. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^3 × 4049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,480,000

Proper Divisor Sum 2,313,579

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4166419 ← → #4166447

Radix Representation

Decimal	4166421
Binary	1111111001001100010101 (22 bits)
Octal	0o17711425
Hexadecimal	0x3F9315

Divisor Catalog (16)

1 3 7 21 49 147 343 1,029 4,049 12,147 28,343 85,029 198,401 595,203 1,388,807 4,166,421

Collatz Trajectory (79 steps to reach 1)

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

4,166,421 12,499,264 6,249,632 3,124,816 1,562,408 781,204 390,602 195,301 585,904 292,952 146,476 73,238 36,619 109,858 54,929 164,788 82,394 41,197 123,592 61,796 30,898 15,449 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736

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