λ
Sequence Observatory

2,099,818

2 × 7 × 127 × 1181
Deficient Even Composite

Starting at 2,099,818, the Collatz iteration reaches 1 after 228 steps. The first transition is 1049909; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 127 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,631,104
Proper Divisor Sum 1,531,286
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2099809 ← → #2099821

Radix Representation

Decimal 2099818
Binary 1000000000101001101010 (22 bits)
Octal 0o10005152
Hexadecimal 0x200A6A

Divisor Catalog (16)

1 2 7 14 127 254 889 1,181 1,778 2,362 8,267 16,534 149,987 299,974 1,049,909 2,099,818

Collatz Trajectory (228 steps to reach 1)

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

2,099,818 1,049,909 3,149,728 1,574,864 787,432 393,716 196,858 98,429 295,288 147,644 73,822 36,911 110,734 55,367 166,102 83,051 249,154 124,577 373,732 186,866 93,433 280,300 140,150 70,075 210,226 105,113 315,340 157,670 78,835 236,506 118,253 354,760 177,380 88,690 44,345 133,036 66,518 33,259 99,778 49,889 149,668 74,834 37,417 112,252 56,126 28,063 84,190 42,095 126,286 63,143 189,430 94,715 284,146 142,073 426,220 213,110 106,555 319,666 159,833 479,500

More profiles

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