271,966

2 × 17 × 19 × 421

Starting at 271,966, the Collatz iteration reaches 1 after 114 steps. The first transition is 135983; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 455,760

Proper Divisor Sum 183,794

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #271939 ← → #271967

Radix Representation

Decimal	271966
Binary	1000010011001011110 (19 bits)
Octal	0o1023136
Hexadecimal	0x4265E

Divisor Catalog (16)

1 2 17 19 34 38 323 421 646 842 7,157 7,999 14,314 15,998 135,983 271,966

Collatz Trajectory (114 steps to reach 1)

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

271,966 135,983 407,950 203,975 611,926 305,963 917,890 458,945 1,376,836 688,418 344,209 1,032,628 516,314 258,157 774,472 387,236 193,618 96,809 290,428 145,214 72,607 217,822 108,911 326,734 163,367 490,102 245,051 735,154 367,577 1,102,732 551,366 275,683 827,050 413,525 1,240,576 620,288 310,144 155,072 77,536 38,768 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727

← Previous Integer #271,965 Browse Full Index Next Integer #271,967 →