λ
Sequence Observatory

5,217,714

2 × 32 × 89 × 3257
Abundant Even Composite

Starting at 5,217,714, the Collatz iteration reaches 1 after 82 steps. The first transition is 2608857; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 89 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,435,580
Proper Divisor Sum 6,217,866
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5217697 ← → #5217731

Radix Representation

Decimal 5217714
Binary 10011111001110110110010 (23 bits)
Octal 0o23716662
Hexadecimal 0x4F9DB2

Divisor Catalog (24)

1 2 3 6 9 18 89 178 267 534 801 1,602 3,257 6,514 9,771 19,542 29,313 58,626 289,873 579,746 869,619 1,739,238 2,608,857 5,217,714

Collatz Trajectory (82 steps to reach 1)

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

5,217,714 2,608,857 7,826,572 3,913,286 1,956,643 5,869,930 2,934,965 8,804,896 4,402,448 2,201,224 1,100,612 550,306 275,153 825,460 412,730 206,365 619,096 309,548 154,774 77,387 232,162 116,081 348,244 174,122 87,061 261,184 130,592 65,296 32,648 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154

More profiles

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