λ
Harmonic Matrix

591,049

29 × 89 × 229
Deficient Odd Composite

591,049 has digital root 1. The neighboring primes are 591023 and 591053; its proper-divisor sum differs from the starting integer by -561,098.

Prime Factor Structure

Factorization String 29 × 89 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 621,000
Proper Divisor Sum 29,951
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #591023 ← → #591053

Radix Representation

Decimal 591049
Binary 10010000010011001001 (20 bits)
Octal 0o2202311
Hexadecimal 0x904C9

Divisor Catalog (8)

1 29 89 229 2,581 6,641 20,381 591,049

Collatz Trajectory (84 steps to reach 1)

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

591,049 1,773,148 886,574 443,287 1,329,862 664,931 1,994,794 997,397 2,992,192 1,496,096 748,048 374,024 187,012 93,506 46,753 140,260 70,130 35,065 105,196 52,598 26,299 78,898 39,449 118,348 59,174 29,587 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752

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