λ
Sigma Notebook

5,072,307

3 × 17 × 271 × 367
Deficient Odd Composite

5,072,307 is odd and not a perfect square. Its factorization is 3 × 17 × 271 × 367 and its 16 divisors sum to 7,206,912.

Prime Factor Structure

Factorization String 3 × 17 × 271 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,206,912
Proper Divisor Sum 2,134,605
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5072299 ← → #5072329

Radix Representation

Decimal 5072307
Binary 10011010110010110110011 (23 bits)
Octal 0o23262663
Hexadecimal 0x4D65B3

Divisor Catalog (16)

1 3 17 51 271 367 813 1,101 4,607 6,239 13,821 18,717 99,457 298,371 1,690,769 5,072,307

Collatz Trajectory (105 steps to reach 1)

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

5,072,307 15,216,922 7,608,461 22,825,384 11,412,692 5,706,346 2,853,173 8,559,520 4,279,760 2,139,880 1,069,940 534,970 267,485 802,456 401,228 200,614 100,307 300,922 150,461 451,384 225,692 112,846 56,423 169,270 84,635 253,906 126,953 380,860 190,430 95,215 285,646 142,823 428,470 214,235 642,706 321,353 964,060 482,030 241,015 723,046 361,523 1,084,570 542,285 1,626,856 813,428 406,714 203,357 610,072 305,036 152,518 76,259 228,778 114,389 343,168 171,584 85,792 42,896 21,448 10,724 5,362

More profiles

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