λ
Sequence Observatory

1,055,058

2 × 3 × 175843
Abundant Even Composite

Starting at 1,055,058, the Collatz iteration reaches 1 after 165 steps. The first transition is 527529; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 175843
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,110,128
Proper Divisor Sum 1,055,070
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1055057 ← → #1055063

Radix Representation

Decimal 1055058
Binary 100000001100101010010 (21 bits)
Octal 0o4014522
Hexadecimal 0x101952

Divisor Catalog (8)

1 2 3 6 175,843 351,686 527,529 1,055,058

Collatz Trajectory (165 steps to reach 1)

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

1,055,058 527,529 1,582,588 791,294 395,647 1,186,942 593,471 1,780,414 890,207 2,670,622 1,335,311 4,005,934 2,002,967 6,008,902 3,004,451 9,013,354 4,506,677 13,520,032 6,760,016 3,380,008 1,690,004 845,002 422,501 1,267,504 633,752 316,876 158,438 79,219 237,658 118,829 356,488 178,244 89,122 44,561 133,684 66,842 33,421 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31

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