λ
Sequence Observatory

2,831,964

22 × 3 × 235997
Abundant Even Composite

Starting at 2,831,964, the Collatz iteration reaches 1 after 151 steps. The first transition is 1415982; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 235997
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,607,944
Proper Divisor Sum 3,775,980
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2831953 ← → #2831971

Radix Representation

Decimal 2831964
Binary 1010110011011001011100 (22 bits)
Octal 0o12633134
Hexadecimal 0x2B365C

Divisor Catalog (12)

1 2 3 4 6 12 235,997 471,994 707,991 943,988 1,415,982 2,831,964

Collatz Trajectory (151 steps to reach 1)

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

2,831,964 1,415,982 707,991 2,123,974 1,061,987 3,185,962 1,592,981 4,778,944 2,389,472 1,194,736 597,368 298,684 149,342 74,671 224,014 112,007 336,022 168,011 504,034 252,017 756,052 378,026 189,013 567,040 283,520 141,760 70,880 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975

More profiles

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