λ
Sequence Observatory

5,151,983

19 × 31 × 8747
Deficient Odd Composite

Starting at 5,151,983, the Collatz iteration reaches 1 after 126 steps. The first transition is 15455950; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 31 × 8747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,598,720
Proper Divisor Sum 446,737
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5151967 ← → #5151989

Radix Representation

Decimal 5151983
Binary 10011101001110011101111 (23 bits)
Octal 0o23516357
Hexadecimal 0x4E9CEF

Divisor Catalog (8)

1 19 31 589 8,747 166,193 271,157 5,151,983

Collatz Trajectory (126 steps to reach 1)

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

5,151,983 15,455,950 7,727,975 23,183,926 11,591,963 34,775,890 17,387,945 52,163,836 26,081,918 13,040,959 39,122,878 19,561,439 58,684,318 29,342,159 88,026,478 44,013,239 132,039,718 66,019,859 198,059,578 99,029,789 297,089,368 148,544,684 74,272,342 37,136,171 111,408,514 55,704,257 167,112,772 83,556,386 41,778,193 125,334,580 62,667,290 31,333,645 94,000,936 47,000,468 23,500,234 11,750,117 35,250,352 17,625,176 8,812,588 4,406,294 2,203,147 6,609,442 3,304,721 9,914,164 4,957,082 2,478,541 7,435,624 3,717,812 1,858,906 929,453 2,788,360 1,394,180 697,090 348,545 1,045,636 522,818 261,409 784,228 392,114 196,057

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