λ
Sequence Observatory

5,085,807

3 × 97 × 17477
Deficient Odd Composite

Starting at 5,085,807, the Collatz iteration reaches 1 after 250 steps. The first transition is 15257422; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 97 × 17477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,851,376
Proper Divisor Sum 1,765,569
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5085803 ← → #5085809

Radix Representation

Decimal 5085807
Binary 10011011001101001101111 (23 bits)
Octal 0o23315157
Hexadecimal 0x4D9A6F

Divisor Catalog (8)

1 3 97 291 17,477 52,431 1,695,269 5,085,807

Collatz Trajectory (250 steps to reach 1)

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

5,085,807 15,257,422 7,628,711 22,886,134 11,443,067 34,329,202 17,164,601 51,493,804 25,746,902 12,873,451 38,620,354 19,310,177 57,930,532 28,965,266 14,482,633 43,447,900 21,723,950 10,861,975 32,585,926 16,292,963 48,878,890 24,439,445 73,318,336 36,659,168 18,329,584 9,164,792 4,582,396 2,291,198 1,145,599 3,436,798 1,718,399 5,155,198 2,577,599 7,732,798 3,866,399 11,599,198 5,799,599 17,398,798 8,699,399 26,098,198 13,049,099 39,147,298 19,573,649 58,720,948 29,360,474 14,680,237 44,040,712 22,020,356 11,010,178 5,505,089 16,515,268 8,257,634 4,128,817 12,386,452 6,193,226 3,096,613 9,289,840 4,644,920 2,322,460 1,161,230

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