λ
Sequence Observatory

189,455

5 × 7 × 5413
Deficient Odd Composite

Starting at 189,455, the Collatz iteration reaches 1 after 214 steps. The first transition is 568366; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 5413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 259,872
Proper Divisor Sum 70,417
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #189439 ← → #189463

Radix Representation

Decimal 189455
Binary 101110010000001111 (18 bits)
Octal 0o562017
Hexadecimal 0x2E40F

Divisor Catalog (8)

1 5 7 35 5,413 27,065 37,891 189,455

Collatz Trajectory (214 steps to reach 1)

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

189,455 568,366 284,183 852,550 426,275 1,278,826 639,413 1,918,240 959,120 479,560 239,780 119,890 59,945 179,836 89,918 44,959 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524 43,262

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