213,798

2 × 3 × 13 × 2741

Starting at 213,798, the Collatz iteration reaches 1 after 98 steps. The first transition is 106899; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 2741

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 460,656

Proper Divisor Sum 246,858

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #213791 ← → #213799

Radix Representation

Decimal	213798
Binary	110100001100100110 (18 bits)
Octal	0o641446
Hexadecimal	0x34326

Divisor Catalog (16)

1 2 3 6 13 26 39 78 2,741 5,482 8,223 16,446 35,633 71,266 106,899 213,798

Collatz Trajectory (98 steps to reach 1)

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

213,798 106,899 320,698 160,349 481,048 240,524 120,262 60,131 180,394 90,197 270,592 135,296 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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