λ
Sequence Observatory

4,490,199

32 × 7 × 263 × 271
Deficient Odd Composite

Starting at 4,490,199, the Collatz iteration reaches 1 after 211 steps. The first transition is 13470598; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 263 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,468,032
Proper Divisor Sum 2,977,833
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4490183 ← → #4490201

Radix Representation

Decimal 4490199
Binary 10001001000001111010111 (23 bits)
Octal 0o21101727
Hexadecimal 0x4483D7

Divisor Catalog (24)

1 3 7 9 21 63 263 271 789 813 1,841 1,897 2,367 2,439 5,523 5,691 16,569 17,073 71,273 213,819 498,911 641,457 1,496,733 4,490,199

Collatz Trajectory (211 steps to reach 1)

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

4,490,199 13,470,598 6,735,299 20,205,898 10,102,949 30,308,848 15,154,424 7,577,212 3,788,606 1,894,303 5,682,910 2,841,455 8,524,366 4,262,183 12,786,550 6,393,275 19,179,826 9,589,913 28,769,740 14,384,870 7,192,435 21,577,306 10,788,653 32,365,960 16,182,980 8,091,490 4,045,745 12,137,236 6,068,618 3,034,309 9,102,928 4,551,464 2,275,732 1,137,866 568,933 1,706,800 853,400 426,700 213,350 106,675 320,026 160,013 480,040 240,020 120,010 60,005 180,016 90,008 45,004 22,502 11,251 33,754 16,877 50,632 25,316 12,658 6,329 18,988 9,494 4,747

More profiles

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