λ
Modular Archive

3,006,591

3 × 72 × 113 × 181
Deficient Odd Composite

The decimal integer 3,006,591 is 1011011110000001111111 in binary (22 bits), 13360177 in octal and 2DE07F in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 3 × 7^2 × 113 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,730,544
Proper Divisor Sum 1,723,953
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3006551 ← → #3006599

Radix Representation

Decimal 3006591
Binary 1011011110000001111111 (22 bits)
Octal 0o13360177
Hexadecimal 0x2DE07F

Divisor Catalog (24)

1 3 7 21 49 113 147 181 339 543 791 1,267 2,373 3,801 5,537 8,869 16,611 20,453 26,607 61,359 143,171 429,513 1,002,197 3,006,591

Collatz Trajectory (257 steps to reach 1)

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

3,006,591 9,019,774 4,509,887 13,529,662 6,764,831 20,294,494 10,147,247 30,441,742 15,220,871 45,662,614 22,831,307 68,493,922 34,246,961 102,740,884 51,370,442 25,685,221 77,055,664 38,527,832 19,263,916 9,631,958 4,815,979 14,447,938 7,223,969 21,671,908 10,835,954 5,417,977 16,253,932 8,126,966 4,063,483 12,190,450 6,095,225 18,285,676 9,142,838 4,571,419 13,714,258 6,857,129 20,571,388 10,285,694 5,142,847 15,428,542 7,714,271 23,142,814 11,571,407 34,714,222 17,357,111 52,071,334 26,035,667 78,107,002 39,053,501 117,160,504 58,580,252 29,290,126 14,645,063 43,935,190 21,967,595 65,902,786 32,951,393 98,854,180 49,427,090 24,713,545

More profiles

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