4,261,167

3⁴ × 31 × 1697

4,261,167 is odd and not a perfect square. Its factorization is 3^4 × 31 × 1697 and its 20 divisors sum to 6,574,656.

Prime Factor Structure

Factorization String 3^4 × 31 × 1697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,574,656

Proper Divisor Sum 2,313,489

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4261151 ← → #4261177

Radix Representation

Decimal	4261167
Binary	10000010000010100101111 (23 bits)
Octal	0o20202457
Hexadecimal	0x41052F

Divisor Catalog (20)

1 3 9 27 31 81 93 279 837 1,697 2,511 5,091 15,273 45,819 52,607 137,457 157,821 473,463 1,420,389 4,261,167

Collatz Trajectory (97 steps to reach 1)

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

4,261,167 12,783,502 6,391,751 19,175,254 9,587,627 28,762,882 14,381,441 43,144,324 21,572,162 10,786,081 32,358,244 16,179,122 8,089,561 24,268,684 12,134,342 6,067,171 18,201,514 9,100,757 27,302,272 13,651,136 6,825,568 3,412,784 1,706,392 853,196 426,598 213,299 639,898 319,949 959,848 479,924 239,962 119,981 359,944 179,972 89,986 44,993 134,980 67,490 33,745 101,236 50,618 25,309 75,928 37,964 18,982 9,491 28,474 14,237 42,712 21,356 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034

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