λ
Prime Ledger

6,295,734

2 × 32 × 101 × 3463
Abundant Even Composite

6,295,734 has the prime decomposition 2 × 3^2 × 101 × 3463. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 101 × 3463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,779,792
Proper Divisor Sum 7,484,058
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6295717 ← → #6295741

Radix Representation

Decimal 6295734
Binary 11000000001000010110110 (23 bits)
Octal 0o30010266
Hexadecimal 0x6010B6

Divisor Catalog (24)

1 2 3 6 9 18 101 202 303 606 909 1,818 3,463 6,926 10,389 20,778 31,167 62,334 349,763 699,526 1,049,289 2,098,578 3,147,867 6,295,734

Collatz Trajectory (134 steps to reach 1)

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

6,295,734 3,147,867 9,443,602 4,721,801 14,165,404 7,082,702 3,541,351 10,624,054 5,312,027 15,936,082 7,968,041 23,904,124 11,952,062 5,976,031 17,928,094 8,964,047 26,892,142 13,446,071 40,338,214 20,169,107 60,507,322 30,253,661 90,760,984 45,380,492 22,690,246 11,345,123 34,035,370 17,017,685 51,053,056 25,526,528 12,763,264 6,381,632 3,190,816 1,595,408 797,704 398,852 199,426 99,713 299,140 149,570 74,785 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596

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