133,180

2² × 5 × 6659

Starting at 133,180, the Collatz iteration reaches 1 after 206 steps. The first transition is 66590; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 6659

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 279,720

Proper Divisor Sum 146,540

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #133169 ← → #133183

Radix Representation

Decimal	133180
Binary	100000100000111100 (18 bits)
Octal	0o404074
Hexadecimal	0x2083C

Divisor Catalog (12)

1 2 4 5 10 20 6,659 13,318 26,636 33,295 66,590 133,180

Collatz Trajectory (206 steps to reach 1)

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

133,180 66,590 33,295 99,886 49,943 149,830 74,915 224,746 112,373 337,120 168,560 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454

← Previous Integer #133,179 Browse Full Index Next Integer #133,181 →