λ
Sequence Observatory

2,681,893

2681893
Deficient Odd Prime

Starting at 2,681,893, the Collatz iteration reaches 1 after 138 steps. The first transition is 8045680; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2681893
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,681,894
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2681881 ← → #2681897

Radix Representation

Decimal 2681893
Binary 1010001110110000100101 (22 bits)
Octal 0o12166045
Hexadecimal 0x28EC25

Divisor Catalog (2)

Collatz Trajectory (138 steps to reach 1)

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

2,681,893 8,045,680 4,022,840 2,011,420 1,005,710 502,855 1,508,566 754,283 2,262,850 1,131,425 3,394,276 1,697,138 848,569 2,545,708 1,272,854 636,427 1,909,282 954,641 2,863,924 1,431,962 715,981 2,147,944 1,073,972 536,986 268,493 805,480 402,740 201,370 100,685 302,056 151,028 75,514 37,757 113,272 56,636 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014

More profiles

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