λ
Sequence Observatory

5,020,408

23 × 19 × 33029
Deficient Even Composite

Starting at 5,020,408, the Collatz iteration reaches 1 after 113 steps. The first transition is 2510204; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 33029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,909,000
Proper Divisor Sum 4,888,592
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5020403 ← → #5020441

Radix Representation

Decimal 5020408
Binary 10011001001101011111000 (23 bits)
Octal 0o23115370
Hexadecimal 0x4C9AF8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 33,029 66,058 132,116 264,232 627,551 1,255,102 2,510,204 5,020,408

Collatz Trajectory (113 steps to reach 1)

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

5,020,408 2,510,204 1,255,102 627,551 1,882,654 941,327 2,823,982 1,411,991 4,235,974 2,117,987 6,353,962 3,176,981 9,530,944 4,765,472 2,382,736 1,191,368 595,684 297,842 148,921 446,764 223,382 111,691 335,074 167,537 502,612 251,306 125,653 376,960 188,480 94,240 47,120 23,560 11,780 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886

More profiles

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