271,780

2² × 5 × 107 × 127

Starting at 271,780, the Collatz iteration reaches 1 after 114 steps. The first transition is 135890; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 107 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 580,608

Proper Divisor Sum 308,828

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #271771 ← → #271787

Radix Representation

Decimal	271780
Binary	1000010010110100100 (19 bits)
Octal	0o1022644
Hexadecimal	0x425A4

Divisor Catalog (24)

1 2 4 5 10 20 107 127 214 254 428 508 535 635 1,070 1,270 2,140 2,540 13,589 27,178 54,356 67,945 135,890 271,780

Collatz Trajectory (114 steps to reach 1)

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

271,780 135,890 67,945 203,836 101,918 50,959 152,878 76,439 229,318 114,659 343,978 171,989 515,968 257,984 128,992 64,496 32,248 16,124 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727

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