λ
Sequence Observatory
Atlas › Integer Profiles › Node 60,198

60,198

2 × 3 × 79 × 127
Abundant Even Composite

Starting at 60,198, the Collatz iteration reaches 1 after 91 steps. The first transition is 30099; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 122,880
Proper Divisor Sum 62,682
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #60169 ← → #60209

Radix Representation

Decimal 60198
Binary 1110101100100110 (16 bits)
Octal 0o165446
Hexadecimal 0xEB26

Divisor Catalog (16)

1 2 3 6 79 127 158 237 254 381 474 762 10,033 20,066 30,099 60,198

Collatz Trajectory (91 steps to reach 1)

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

60,198 30,099 90,298 45,149 135,448 67,724 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 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 4,102 2,051 6,154 3,077 9,232 4,616 2,308

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