λ
Sigma Notebook

7,393,767

3 × 2464589
Deficient Odd Composite

7,393,767 is odd and not a perfect square. Its factorization is 3 × 2464589 and its 4 divisors sum to 9,858,360.

Prime Factor Structure

Factorization String 3 × 2464589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,858,360
Proper Divisor Sum 2,464,593
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7393751 ← → #7393777

Radix Representation

Decimal 7393767
Binary 11100001101000111100111 (23 bits)
Octal 0o34150747
Hexadecimal 0x70D1E7

Divisor Catalog (4)

1 3 2,464,589 7,393,767

Collatz Trajectory (204 steps to reach 1)

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

7,393,767 22,181,302 11,090,651 33,271,954 16,635,977 49,907,932 24,953,966 12,476,983 37,430,950 18,715,475 56,146,426 28,073,213 84,219,640 42,109,820 21,054,910 10,527,455 31,582,366 15,791,183 47,373,550 23,686,775 71,060,326 35,530,163 106,590,490 53,295,245 159,885,736 79,942,868 39,971,434 19,985,717 59,957,152 29,978,576 14,989,288 7,494,644 3,747,322 1,873,661 5,620,984 2,810,492 1,405,246 702,623 2,107,870 1,053,935 3,161,806 1,580,903 4,742,710 2,371,355 7,114,066 3,557,033 10,671,100 5,335,550 2,667,775 8,003,326 4,001,663 12,004,990 6,002,495 18,007,486 9,003,743 27,011,230 13,505,615 40,516,846 20,258,423 60,775,270

More profiles

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