λ
Sequence Observatory

5,300,266

2 × 43 × 61631
Deficient Even Composite

Starting at 5,300,266, the Collatz iteration reaches 1 after 157 steps. The first transition is 2650133; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 61631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,135,424
Proper Divisor Sum 2,835,158
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5300257 ← → #5300279

Radix Representation

Decimal 5300266
Binary 10100001110000000101010 (23 bits)
Octal 0o24160052
Hexadecimal 0x50E02A

Divisor Catalog (8)

1 2 43 86 61,631 123,262 2,650,133 5,300,266

Collatz Trajectory (157 steps to reach 1)

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

5,300,266 2,650,133 7,950,400 3,975,200 1,987,600 993,800 496,900 248,450 124,225 372,676 186,338 93,169 279,508 139,754 69,877 209,632 104,816 52,408 26,204 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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