2,926,728

2³ × 3² × 7 × 5807

2,926,728 has the prime decomposition 2^3 × 3^2 × 7 × 5807. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 5807

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,060,480

Proper Divisor Sum 6,133,752

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2926717 ← → #2926733

Radix Representation

Decimal	2926728
Binary	1011001010100010001000 (22 bits)
Octal	0o13124210
Hexadecimal	0x2CA888

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5,807 11,614 17,421 23,228 34,842 40,649 46,456 52,263 69,684 81,298 104,526 121,947 139,368 162,596 209,052 243,894 325,192 365,841 418,104 487,788 731,682 975,576 1,463,364 2,926,728

Collatz Trajectory (138 steps to reach 1)

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

2,926,728 1,463,364 731,682 365,841 1,097,524 548,762 274,381 823,144 411,572 205,786 102,893 308,680 154,340 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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