λ
Harmonic Matrix

5,799,753

32 × 47 × 13711
Deficient Odd Composite

5,799,753 has digital root 9. The neighboring primes are 5799707 and 5799767; its proper-divisor sum differs from the starting integer by -3,043,218.

Prime Factor Structure

Factorization String 3^2 × 47 × 13711
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,556,288
Proper Divisor Sum 2,756,535
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5799707 ← → #5799767

Radix Representation

Decimal 5799753
Binary 10110000111111101001001 (23 bits)
Octal 0o26077511
Hexadecimal 0x587F49

Divisor Catalog (12)

1 3 9 47 141 423 13,711 41,133 123,399 644,417 1,933,251 5,799,753

Collatz Trajectory (121 steps to reach 1)

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

5,799,753 17,399,260 8,699,630 4,349,815 13,049,446 6,524,723 19,574,170 9,787,085 29,361,256 14,680,628 7,340,314 3,670,157 11,010,472 5,505,236 2,752,618 1,376,309 4,128,928 2,064,464 1,032,232 516,116 258,058 129,029 387,088 193,544 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022

More profiles

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