λ
Sequence Observatory

3,011,504

24 × 37 × 5087
Deficient Even Composite

Starting at 3,011,504, the Collatz iteration reaches 1 after 89 steps. The first transition is 1505752; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 37 × 5087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,993,664
Proper Divisor Sum 2,982,160
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3011483 ← → #3011507

Radix Representation

Decimal 3011504
Binary 1011011111001110110000 (22 bits)
Octal 0o13371660
Hexadecimal 0x2DF3B0

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 5,087 10,174 20,348 40,696 81,392 188,219 376,438 752,876 1,505,752 3,011,504

Collatz Trajectory (89 steps to reach 1)

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

3,011,504 1,505,752 752,876 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89

More profiles

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