λ
Sequence Observatory

9,998,840

23 × 5 × 249971
Abundant Even Composite

Starting at 9,998,840, the Collatz iteration reaches 1 after 163 steps. The first transition is 4999420; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 249971
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 22,497,480
Proper Divisor Sum 12,498,640
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9998809 ← → #9998851

Radix Representation

Decimal 9998840
Binary 100110001001000111111000 (24 bits)
Octal 0o46110770
Hexadecimal 0x9891F8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 249,971 499,942 999,884 1,249,855 1,999,768 2,499,710 4,999,420 9,998,840

Collatz Trajectory (163 steps to reach 1)

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

9,998,840 4,999,420 2,499,710 1,249,855 3,749,566 1,874,783 5,624,350 2,812,175 8,436,526 4,218,263 12,654,790 6,327,395 18,982,186 9,491,093 28,473,280 14,236,640 7,118,320 3,559,160 1,779,580 889,790 444,895 1,334,686 667,343 2,002,030 1,001,015 3,003,046 1,501,523 4,504,570 2,252,285 6,756,856 3,378,428 1,689,214 844,607 2,533,822 1,266,911 3,800,734 1,900,367 5,701,102 2,850,551 8,551,654 4,275,827 12,827,482 6,413,741 19,241,224 9,620,612 4,810,306 2,405,153 7,215,460 3,607,730 1,803,865 5,411,596 2,705,798 1,352,899 4,058,698 2,029,349 6,088,048 3,044,024 1,522,012 761,006 380,503

More profiles

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