λ
Sequence Observatory

5,198,798

2 × 11 × 67 × 3527
Deficient Even Composite

Starting at 5,198,798, the Collatz iteration reaches 1 after 157 steps. The first transition is 2599399; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 67 × 3527
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,636,544
Proper Divisor Sum 3,437,746
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5198797 ← → #5198803

Radix Representation

Decimal 5198798
Binary 10011110101001111001110 (23 bits)
Octal 0o23651716
Hexadecimal 0x4F53CE

Divisor Catalog (16)

1 2 11 22 67 134 737 1,474 3,527 7,054 38,797 77,594 236,309 472,618 2,599,399 5,198,798

Collatz Trajectory (157 steps to reach 1)

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

5,198,798 2,599,399 7,798,198 3,899,099 11,697,298 5,848,649 17,545,948 8,772,974 4,386,487 13,159,462 6,579,731 19,739,194 9,869,597 29,608,792 14,804,396 7,402,198 3,701,099 11,103,298 5,551,649 16,654,948 8,327,474 4,163,737 12,491,212 6,245,606 3,122,803 9,368,410 4,684,205 14,052,616 7,026,308 3,513,154 1,756,577 5,269,732 2,634,866 1,317,433 3,952,300 1,976,150 988,075 2,964,226 1,482,113 4,446,340 2,223,170 1,111,585 3,334,756 1,667,378 833,689 2,501,068 1,250,534 625,267 1,875,802 937,901 2,813,704 1,406,852 703,426 351,713 1,055,140 527,570 263,785 791,356 395,678 197,839

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