λ
Sequence Observatory

43,055

5 × 79 × 109
Deficient Odd Composite

Starting at 43,055, the Collatz iteration reaches 1 after 194 steps. The first transition is 129166; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 79 × 109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 52,800
Proper Divisor Sum 9,745
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #43051 ← → #43063

Radix Representation

Decimal 43055
Binary 1010100000101111 (16 bits)
Octal 0o124057
Hexadecimal 0xA82F

Divisor Catalog (8)

1 5 79 109 395 545 8,611 43,055

Collatz Trajectory (194 steps to reach 1)

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

43,055 129,166 64,583 193,750 96,875 290,626 145,313 435,940 217,970 108,985 326,956 163,478 81,739 245,218 122,609 367,828 183,914 91,957 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292

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