λ
Sequence Observatory

4,436,058

2 × 3 × 11 × 67213
Abundant Even Composite

Starting at 4,436,058, the Collatz iteration reaches 1 after 118 steps. The first transition is 2218029; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 67213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,678,816
Proper Divisor Sum 5,242,758
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4436051 ← → #4436059

Radix Representation

Decimal 4436058
Binary 10000111011000001011010 (23 bits)
Octal 0o20730132
Hexadecimal 0x43B05A

Divisor Catalog (16)

1 2 3 6 11 22 33 66 67,213 134,426 201,639 403,278 739,343 1,478,686 2,218,029 4,436,058

Collatz Trajectory (118 steps to reach 1)

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

4,436,058 2,218,029 6,654,088 3,327,044 1,663,522 831,761 2,495,284 1,247,642 623,821 1,871,464 935,732 467,866 233,933 701,800 350,900 175,450 87,725 263,176 131,588 65,794 32,897 98,692 49,346 24,673 74,020 37,010 18,505 55,516 27,758 13,879 41,638 20,819 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844

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