λ
Sequence Observatory

2,099,285

5 × 101 × 4157
Deficient Odd Composite

Starting at 2,099,285, the Collatz iteration reaches 1 after 241 steps. The first transition is 6297856; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 101 × 4157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,544,696
Proper Divisor Sum 445,411
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2099263 ← → #2099287

Radix Representation

Decimal 2099285
Binary 1000000000100001010101 (22 bits)
Octal 0o10004125
Hexadecimal 0x200855

Divisor Catalog (8)

1 5 101 505 4,157 20,785 419,857 2,099,285

Collatz Trajectory (241 steps to reach 1)

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

2,099,285 6,297,856 3,148,928 1,574,464 787,232 393,616 196,808 98,404 49,202 24,601 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324

More profiles

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