λ
Sequence Observatory

214,267

37 × 5791
Deficient Odd Composite

Starting at 214,267, the Collatz iteration reaches 1 after 217 steps. The first transition is 642802; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 5791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 220,096
Proper Divisor Sum 5,829
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #214259 ← → #214283

Radix Representation

Decimal 214267
Binary 110100010011111011 (18 bits)
Octal 0o642373
Hexadecimal 0x344FB

Divisor Catalog (4)

1 37 5,791 214,267

Collatz Trajectory (217 steps to reach 1)

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

214,267 642,802 321,401 964,204 482,102 241,051 723,154 361,577 1,084,732 542,366 271,183 813,550 406,775 1,220,326 610,163 1,830,490 915,245 2,745,736 1,372,868 686,434 343,217 1,029,652 514,826 257,413 772,240 386,120 193,060 96,530 48,265 144,796 72,398 36,199 108,598 54,299 162,898 81,449 244,348 122,174 61,087 183,262 91,631 274,894 137,447 412,342 206,171 618,514 309,257 927,772 463,886 231,943 695,830 347,915 1,043,746 521,873 1,565,620 782,810 391,405 1,174,216 587,108 293,554

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