λ
Sequence Observatory

2,095,068

22 × 3 × 71 × 2459
Abundant Even Composite

Starting at 2,095,068, the Collatz iteration reaches 1 after 135 steps. The first transition is 1047534; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 2459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,959,360
Proper Divisor Sum 2,864,292
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2095061 ← → #2095081

Radix Representation

Decimal 2095068
Binary 111111111011111011100 (21 bits)
Octal 0o7773734
Hexadecimal 0x1FF7DC

Divisor Catalog (24)

1 2 3 4 6 12 71 142 213 284 426 852 2,459 4,918 7,377 9,836 14,754 29,508 174,589 349,178 523,767 698,356 1,047,534 2,095,068

Collatz Trajectory (135 steps to reach 1)

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

2,095,068 1,047,534 523,767 1,571,302 785,651 2,356,954 1,178,477 3,535,432 1,767,716 883,858 441,929 1,325,788 662,894 331,447 994,342 497,171 1,491,514 745,757 2,237,272 1,118,636 559,318 279,659 838,978 419,489 1,258,468 629,234 314,617 943,852 471,926 235,963 707,890 353,945 1,061,836 530,918 265,459 796,378 398,189 1,194,568 597,284 298,642 149,321 447,964 223,982 111,991 335,974 167,987 503,962 251,981 755,944 377,972 188,986 94,493 283,480 141,740 70,870 35,435 106,306 53,153 159,460 79,730

More profiles

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