134,115

3 × 5 × 8941

Starting at 134,115, the Collatz iteration reaches 1 after 113 steps. The first transition is 402346; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 8941

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 214,608

Proper Divisor Sum 80,493

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #134093 ← → #134129

Radix Representation

Decimal	134115
Binary	100000101111100011 (18 bits)
Octal	0o405743
Hexadecimal	0x20BE3

Divisor Catalog (8)

1 3 5 15 8,941 26,823 44,705 134,115

Collatz Trajectory (113 steps to reach 1)

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

134,115 402,346 201,173 603,520 301,760 150,880 75,440 37,720 18,860 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854

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