λ
Sequence Observatory

5,123,986

2 × 7 × 23 × 15913
Deficient Even Composite

Starting at 5,123,986, the Collatz iteration reaches 1 after 131 steps. The first transition is 2561993; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 15913
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,166,464
Proper Divisor Sum 4,042,478
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5123983 ← → #5124001

Radix Representation

Decimal 5123986
Binary 10011100010111110010010 (23 bits)
Octal 0o23427622
Hexadecimal 0x4E2F92

Divisor Catalog (16)

1 2 7 14 23 46 161 322 15,913 31,826 111,391 222,782 365,999 731,998 2,561,993 5,123,986

Collatz Trajectory (131 steps to reach 1)

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

5,123,986 2,561,993 7,685,980 3,842,990 1,921,495 5,764,486 2,882,243 8,646,730 4,323,365 12,970,096 6,485,048 3,242,524 1,621,262 810,631 2,431,894 1,215,947 3,647,842 1,823,921 5,471,764 2,735,882 1,367,941 4,103,824 2,051,912 1,025,956 512,978 256,489 769,468 384,734 192,367 577,102 288,551 865,654 432,827 1,298,482 649,241 1,947,724 973,862 486,931 1,460,794 730,397 2,191,192 1,095,596 547,798 273,899 821,698 410,849 1,232,548 616,274 308,137 924,412 462,206 231,103 693,310 346,655 1,039,966 519,983 1,559,950 779,975 2,339,926 1,169,963

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