λ
Sequence Observatory

5,631,728

24 × 47 × 7489
Deficient Even Composite

Starting at 5,631,728, the Collatz iteration reaches 1 after 131 steps. The first transition is 2815864; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 47 × 7489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,145,120
Proper Divisor Sum 5,513,392
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5631707 ← → #5631737

Radix Representation

Decimal 5631728
Binary 10101011110111011110000 (23 bits)
Octal 0o25367360
Hexadecimal 0x55EEF0

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 7,489 14,978 29,956 59,912 119,824 351,983 703,966 1,407,932 2,815,864 5,631,728

Collatz Trajectory (131 steps to reach 1)

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

5,631,728 2,815,864 1,407,932 703,966 351,983 1,055,950 527,975 1,583,926 791,963 2,375,890 1,187,945 3,563,836 1,781,918 890,959 2,672,878 1,336,439 4,009,318 2,004,659 6,013,978 3,006,989 9,020,968 4,510,484 2,255,242 1,127,621 3,382,864 1,691,432 845,716 422,858 211,429 634,288 317,144 158,572 79,286 39,643 118,930 59,465 178,396 89,198 44,599 133,798 66,899 200,698 100,349 301,048 150,524 75,262 37,631 112,894 56,447 169,342 84,671 254,014 127,007 381,022 190,511 571,534 285,767 857,302 428,651 1,285,954

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