λ
Sequence Observatory

4,236,155

5 × 7 × 11 × 11003
Deficient Odd Composite

Starting at 4,236,155, the Collatz iteration reaches 1 after 273 steps. The first transition is 12708466; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 11003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,338,304
Proper Divisor Sum 2,102,149
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4236149 ← → #4236187

Radix Representation

Decimal 4236155
Binary 10000001010001101111011 (23 bits)
Octal 0o20121573
Hexadecimal 0x40A37B

Divisor Catalog (16)

1 5 7 11 35 55 77 385 11,003 55,015 77,021 121,033 385,105 605,165 847,231 4,236,155

Collatz Trajectory (273 steps to reach 1)

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

4,236,155 12,708,466 6,354,233 19,062,700 9,531,350 4,765,675 14,297,026 7,148,513 21,445,540 10,722,770 5,361,385 16,084,156 8,042,078 4,021,039 12,063,118 6,031,559 18,094,678 9,047,339 27,142,018 13,571,009 40,713,028 20,356,514 10,178,257 30,534,772 15,267,386 7,633,693 22,901,080 11,450,540 5,725,270 2,862,635 8,587,906 4,293,953 12,881,860 6,440,930 3,220,465 9,661,396 4,830,698 2,415,349 7,246,048 3,623,024 1,811,512 905,756 452,878 226,439 679,318 339,659 1,018,978 509,489 1,528,468 764,234 382,117 1,146,352 573,176 286,588 143,294 71,647 214,942 107,471 322,414 161,207

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