3,864,729

3 × 11 × 17 × 83²

3,864,729 has the prime decomposition 3 × 11 × 17 × 83^2. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 83^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,024,672

Proper Divisor Sum 2,159,943

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3864719 ← → #3864767

Radix Representation

Decimal	3864729
Binary	1110101111100010011001 (22 bits)
Octal	0o16574231
Hexadecimal	0x3AF899

Divisor Catalog (24)

1 3 11 17 33 51 83 187 249 561 913 1,411 2,739 4,233 6,889 15,521 20,667 46,563 75,779 117,113 227,337 351,339 1,288,243 3,864,729

Collatz Trajectory (185 steps to reach 1)

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

3,864,729 11,594,188 5,797,094 2,898,547 8,695,642 4,347,821 13,043,464 6,521,732 3,260,866 1,630,433 4,891,300 2,445,650 1,222,825 3,668,476 1,834,238 917,119 2,751,358 1,375,679 4,127,038 2,063,519 6,190,558 3,095,279 9,285,838 4,642,919 13,928,758 6,964,379 20,893,138 10,446,569 31,339,708 15,669,854 7,834,927 23,504,782 11,752,391 35,257,174 17,628,587 52,885,762 26,442,881 79,328,644 39,664,322 19,832,161 59,496,484 29,748,242 14,874,121 44,622,364 22,311,182 11,155,591 33,466,774 16,733,387 50,200,162 25,100,081 75,300,244 37,650,122 18,825,061 56,475,184 28,237,592 14,118,796 7,059,398 3,529,699 10,589,098 5,294,549

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