λ
Sigma Notebook

5,113,515

3 × 5 × 11 × 17 × 1823
Deficient Odd Composite

5,113,515 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 17 × 1823 and its 32 divisors sum to 9,455,616.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 1823
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,455,616
Proper Divisor Sum 4,342,101
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5113513 ← → #5113519

Radix Representation

Decimal 5113515
Binary 10011100000011010101011 (23 bits)
Octal 0o23403253
Hexadecimal 0x4E06AB

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 1,823 2,805 5,469 9,115 20,053 27,345 30,991 60,159 92,973 100,265 154,955 300,795 340,901 464,865 1,022,703 1,704,505 5,113,515

Collatz Trajectory (219 steps to reach 1)

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

5,113,515 15,340,546 7,670,273 23,010,820 11,505,410 5,752,705 17,258,116 8,629,058 4,314,529 12,943,588 6,471,794 3,235,897 9,707,692 4,853,846 2,426,923 7,280,770 3,640,385 10,921,156 5,460,578 2,730,289 8,190,868 4,095,434 2,047,717 6,143,152 3,071,576 1,535,788 767,894 383,947 1,151,842 575,921 1,727,764 863,882 431,941 1,295,824 647,912 323,956 161,978 80,989 242,968 121,484 60,742 30,371 91,114 45,557 136,672 68,336 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440

More profiles

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