λ
Sequence Observatory

4,991,932

22 × 11 × 113453
Deficient Even Composite

Starting at 4,991,932, the Collatz iteration reaches 1 after 206 steps. The first transition is 2495966; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 113453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,530,136
Proper Divisor Sum 4,538,204
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4991923 ← → #4991933

Radix Representation

Decimal 4991932
Binary 10011000010101110111100 (23 bits)
Octal 0o23025674
Hexadecimal 0x4C2BBC

Divisor Catalog (12)

1 2 4 11 22 44 113,453 226,906 453,812 1,247,983 2,495,966 4,991,932

Collatz Trajectory (206 steps to reach 1)

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

4,991,932 2,495,966 1,247,983 3,743,950 1,871,975 5,615,926 2,807,963 8,423,890 4,211,945 12,635,836 6,317,918 3,158,959 9,476,878 4,738,439 14,215,318 7,107,659 21,322,978 10,661,489 31,984,468 15,992,234 7,996,117 23,988,352 11,994,176 5,997,088 2,998,544 1,499,272 749,636 374,818 187,409 562,228 281,114 140,557 421,672 210,836 105,418 52,709 158,128 79,064 39,532 19,766 9,883 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666

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