λ
Sigma Notebook

7,117,552

24 × 13 × 19 × 1801
Abundant Even Composite

7,117,552 is even and not a perfect square. Its factorization is 2^4 × 13 × 19 × 1801 and its 40 divisors sum to 15,641,360.

Prime Factor Structure

Factorization String 2^4 × 13 × 19 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,641,360
Proper Divisor Sum 8,523,808
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7117519 ← → #7117567

Radix Representation

Decimal 7117552
Binary 11011001001101011110000 (23 bits)
Octal 0o33115360
Hexadecimal 0x6C9AF0

Divisor Catalog (40)

1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1,801 1,976 3,602 3,952 7,204 14,408 23,413 28,816 34,219 46,826 68,438 93,652 136,876 187,304 273,752 374,608 444,847 547,504 889,694 1,779,388 3,558,776 7,117,552

Collatz Trajectory (98 steps to reach 1)

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

7,117,552 3,558,776 1,779,388 889,694 444,847 1,334,542 667,271 2,001,814 1,000,907 3,002,722 1,501,361 4,504,084 2,252,042 1,126,021 3,378,064 1,689,032 844,516 422,258 211,129 633,388 316,694 158,347 475,042 237,521 712,564 356,282 178,141 534,424 267,212 133,606 66,803 200,410 100,205 300,616 150,308 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526

More profiles

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