λ
Sequence Observatory

2,831,994

2 × 32 × 11 × 14303
Abundant Even Composite

Starting at 2,831,994, the Collatz iteration reaches 1 after 151 steps. The first transition is 1415997; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 14303
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,694,272
Proper Divisor Sum 3,862,278
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2831971 ← → #2831999

Radix Representation

Decimal 2831994
Binary 1010110011011001111010 (22 bits)
Octal 0o12633172
Hexadecimal 0x2B367A

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 14,303 28,606 42,909 85,818 128,727 157,333 257,454 314,666 471,999 943,998 1,415,997 2,831,994

Collatz Trajectory (151 steps to reach 1)

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

2,831,994 1,415,997 4,247,992 2,123,996 1,061,998 530,999 1,592,998 796,499 2,389,498 1,194,749 3,584,248 1,792,124 896,062 448,031 1,344,094 672,047 2,016,142 1,008,071 3,024,214 1,512,107 4,536,322 2,268,161 6,804,484 3,402,242 1,701,121 5,103,364 2,551,682 1,275,841 3,827,524 1,913,762 956,881 2,870,644 1,435,322 717,661 2,152,984 1,076,492 538,246 269,123 807,370 403,685 1,211,056 605,528 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774

More profiles

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