λ
Sequence Observatory

5,319,650

2 × 52 × 7 × 15199
Abundant Even Composite

Starting at 5,319,650, the Collatz iteration reaches 1 after 82 steps. The first transition is 2659825; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 15199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,308,800
Proper Divisor Sum 5,989,150
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5319637 ← → #5319661

Radix Representation

Decimal 5319650
Binary 10100010010101111100010 (23 bits)
Octal 0o24225742
Hexadecimal 0x512BE2

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 15,199 30,398 75,995 106,393 151,990 212,786 379,975 531,965 759,950 1,063,930 2,659,825 5,319,650

Collatz Trajectory (82 steps to reach 1)

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

5,319,650 2,659,825 7,979,476 3,989,738 1,994,869 5,984,608 2,992,304 1,496,152 748,076 374,038 187,019 561,058 280,529 841,588 420,794 210,397 631,192 315,596 157,798 78,899 236,698 118,349 355,048 177,524 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938

More profiles

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