λ
Sequence Observatory

4,461,581

193 × 23117
Deficient Odd Composite

Starting at 4,461,581, the Collatz iteration reaches 1 after 118 steps. The first transition is 13384744; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 193 × 23117
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,484,892
Proper Divisor Sum 23,311
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4461577 ← → #4461617

Radix Representation

Decimal 4461581
Binary 10001000001010000001101 (23 bits)
Octal 0o21012015
Hexadecimal 0x44140D

Divisor Catalog (4)

1 193 23,117 4,461,581

Collatz Trajectory (118 steps to reach 1)

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

4,461,581 13,384,744 6,692,372 3,346,186 1,673,093 5,019,280 2,509,640 1,254,820 627,410 313,705 941,116 470,558 235,279 705,838 352,919 1,058,758 529,379 1,588,138 794,069 2,382,208 1,191,104 595,552 297,776 148,888 74,444 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724

More profiles

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