λ
Sequence Observatory

5,097,326

2 × 13 × 196051
Deficient Even Composite

Starting at 5,097,326, the Collatz iteration reaches 1 after 82 steps. The first transition is 2548663; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 196051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,234,184
Proper Divisor Sum 3,136,858
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5097289 ← → #5097353

Radix Representation

Decimal 5097326
Binary 10011011100011101101110 (23 bits)
Octal 0o23343556
Hexadecimal 0x4DC76E

Divisor Catalog (8)

1 2 13 26 196,051 392,102 2,548,663 5,097,326

Collatz Trajectory (82 steps to reach 1)

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

5,097,326 2,548,663 7,645,990 3,822,995 11,468,986 5,734,493 17,203,480 8,601,740 4,300,870 2,150,435 6,451,306 3,225,653 9,676,960 4,838,480 2,419,240 1,209,620 604,810 302,405 907,216 453,608 226,804 113,402 56,701 170,104 85,052 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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