λ
Sequence Observatory

5,191,112

23 × 648889
Deficient Even Composite

Starting at 5,191,112, the Collatz iteration reaches 1 after 95 steps. The first transition is 2595556; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 648889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,733,350
Proper Divisor Sum 4,542,238
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5191099 ← → #5191129

Radix Representation

Decimal 5191112
Binary 10011110011010111001000 (23 bits)
Octal 0o23632710
Hexadecimal 0x4F35C8

Divisor Catalog (8)

1 2 4 8 648,889 1,297,778 2,595,556 5,191,112

Collatz Trajectory (95 steps to reach 1)

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

5,191,112 2,595,556 1,297,778 648,889 1,946,668 973,334 486,667 1,460,002 730,001 2,190,004 1,095,002 547,501 1,642,504 821,252 410,626 205,313 615,940 307,970 153,985 461,956 230,978 115,489 346,468 173,234 86,617 259,852 129,926 64,963 194,890 97,445 292,336 146,168 73,084 36,542 18,271 54,814 27,407 82,222 41,111 123,334 61,667 185,002 92,501 277,504 138,752 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917

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