λ
Prime Ledger

3,576,834

2 × 32 × 17 × 11689
Abundant Even Composite

3,576,834 has the prime decomposition 2 × 3^2 × 17 × 11689. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 11689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,206,380
Proper Divisor Sum 4,629,546
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3576829 ← → #3576847

Radix Representation

Decimal 3576834
Binary 1101101001010000000010 (22 bits)
Octal 0o15512002
Hexadecimal 0x369402

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 11,689 23,378 35,067 70,134 105,201 198,713 210,402 397,426 596,139 1,192,278 1,788,417 3,576,834

Collatz Trajectory (97 steps to reach 1)

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

3,576,834 1,788,417 5,365,252 2,682,626 1,341,313 4,023,940 2,011,970 1,005,985 3,017,956 1,508,978 754,489 2,263,468 1,131,734 565,867 1,697,602 848,801 2,546,404 1,273,202 636,601 1,909,804 954,902 477,451 1,432,354 716,177 2,148,532 1,074,266 537,133 1,611,400 805,700 402,850 201,425 604,276 302,138 151,069 453,208 226,604 113,302 56,651 169,954 84,977 254,932 127,466 63,733 191,200 95,600 47,800 23,900 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782

More profiles

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