λ
Sequence Observatory

5,867,498

2 × 7 × 13 × 103 × 313
Deficient Even Composite

Starting at 5,867,498, the Collatz iteration reaches 1 after 183 steps. The first transition is 2933749; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 103 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,972,416
Proper Divisor Sum 5,104,918
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5867489 ← → #5867509

Radix Representation

Decimal 5867498
Binary 10110011000011111101010 (23 bits)
Octal 0o26303752
Hexadecimal 0x5987EA

Divisor Catalog (32)

1 2 7 13 14 26 91 103 182 206 313 626 721 1,339 1,442 2,191 2,678 4,069 4,382 8,138 9,373 18,746 28,483 32,239 56,966 64,478 225,673 419,107 451,346 838,214 2,933,749 5,867,498

Collatz Trajectory (183 steps to reach 1)

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

5,867,498 2,933,749 8,801,248 4,400,624 2,200,312 1,100,156 550,078 275,039 825,118 412,559 1,237,678 618,839 1,856,518 928,259 2,784,778 1,392,389 4,177,168 2,088,584 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

More profiles

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