λ
Sequence Observatory

4,516,919

11 × 410629
Deficient Odd Composite

Starting at 4,516,919, the Collatz iteration reaches 1 after 193 steps. The first transition is 13550758; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 410629
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,927,560
Proper Divisor Sum 410,641
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4516913 ← → #4516921

Radix Representation

Decimal 4516919
Binary 10001001110110000110111 (23 bits)
Octal 0o21166067
Hexadecimal 0x44EC37

Divisor Catalog (4)

1 11 410,629 4,516,919

Collatz Trajectory (193 steps to reach 1)

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

4,516,919 13,550,758 6,775,379 20,326,138 10,163,069 30,489,208 15,244,604 7,622,302 3,811,151 11,433,454 5,716,727 17,150,182 8,575,091 25,725,274 12,862,637 38,587,912 19,293,956 9,646,978 4,823,489 14,470,468 7,235,234 3,617,617 10,852,852 5,426,426 2,713,213 8,139,640 4,069,820 2,034,910 1,017,455 3,052,366 1,526,183 4,578,550 2,289,275 6,867,826 3,433,913 10,301,740 5,150,870 2,575,435 7,726,306 3,863,153 11,589,460 5,794,730 2,897,365 8,692,096 4,346,048 2,173,024 1,086,512 543,256 271,628 135,814 67,907 203,722 101,861 305,584 152,792 76,396 38,198 19,099 57,298 28,649

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