λ
Harmonic Matrix

589,791

3 × 196597
Deficient Odd Composite

589,791 has digital root 3. The neighboring primes are 589783 and 589793; its proper-divisor sum differs from the starting integer by -393,190.

Prime Factor Structure

Factorization String 3 × 196597
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 786,392
Proper Divisor Sum 196,601
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #589783 ← → #589793

Radix Representation

Decimal 589791
Binary 10001111111111011111 (20 bits)
Octal 0o2177737
Hexadecimal 0x8FFDF

Divisor Catalog (4)

1 3 196,597 589,791

Collatz Trajectory (221 steps to reach 1)

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

589,791 1,769,374 884,687 2,654,062 1,327,031 3,981,094 1,990,547 5,971,642 2,985,821 8,957,464 4,478,732 2,239,366 1,119,683 3,359,050 1,679,525 5,038,576 2,519,288 1,259,644 629,822 314,911 944,734 472,367 1,417,102 708,551 2,125,654 1,062,827 3,188,482 1,594,241 4,782,724 2,391,362 1,195,681 3,587,044 1,793,522 896,761 2,690,284 1,345,142 672,571 2,017,714 1,008,857 3,026,572 1,513,286 756,643 2,269,930 1,134,965 3,404,896 1,702,448 851,224 425,612 212,806 106,403 319,210 159,605 478,816 239,408 119,704 59,852 29,926 14,963 44,890 22,445

More profiles

← Previous Integer #589,790 Browse Full Index Next Integer #589,792 →