λ
Sequence Observatory

4,893,141

3 × 11 × 29 × 5113
Deficient Odd Composite

Starting at 4,893,141, the Collatz iteration reaches 1 after 206 steps. The first transition is 14679424; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 29 × 5113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,364,160
Proper Divisor Sum 2,471,019
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4893137 ← → #4893151

Radix Representation

Decimal 4893141
Binary 10010101010100111010101 (23 bits)
Octal 0o22524725
Hexadecimal 0x4AA9D5

Divisor Catalog (16)

1 3 11 29 33 87 319 957 5,113 15,339 56,243 148,277 168,729 444,831 1,631,047 4,893,141

Collatz Trajectory (206 steps to reach 1)

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

4,893,141 14,679,424 7,339,712 3,669,856 1,834,928 917,464 458,732 229,366 114,683 344,050 172,025 516,076 258,038 129,019 387,058 193,529 580,588 290,294 145,147 435,442 217,721 653,164 326,582 163,291 489,874 244,937 734,812 367,406 183,703 551,110 275,555 826,666 413,333 1,240,000 620,000 310,000 155,000 77,500 38,750 19,375 58,126 29,063 87,190 43,595 130,786 65,393 196,180 98,090 49,045 147,136 73,568 36,784 18,392 9,196 4,598 2,299 6,898 3,449 10,348 5,174

More profiles

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