λ
Harmonic Matrix

595,966

2 × 7 × 42569
Deficient Even Composite

595,966 has digital root 4. The neighboring primes are 595963 and 595967; its proper-divisor sum differs from the starting integer by -170,252.

Prime Factor Structure

Factorization String 2 × 7 × 42569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,021,680
Proper Divisor Sum 425,714
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #595963 ← → #595967

Radix Representation

Decimal 595966
Binary 10010001011111111110 (20 bits)
Octal 0o2213776
Hexadecimal 0x917FE

Divisor Catalog (8)

1 2 7 14 42,569 85,138 297,983 595,966

Collatz Trajectory (296 steps to reach 1)

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

595,966 297,983 893,950 446,975 1,340,926 670,463 2,011,390 1,005,695 3,017,086 1,508,543 4,525,630 2,262,815 6,788,446 3,394,223 10,182,670 5,091,335 15,274,006 7,637,003 22,911,010 11,455,505 34,366,516 17,183,258 8,591,629 25,774,888 12,887,444 6,443,722 3,221,861 9,665,584 4,832,792 2,416,396 1,208,198 604,099 1,812,298 906,149 2,718,448 1,359,224 679,612 339,806 169,903 509,710 254,855 764,566 382,283 1,146,850 573,425 1,720,276 860,138 430,069 1,290,208 645,104 322,552 161,276 80,638 40,319 120,958 60,479 181,438 90,719 272,158 136,079

More profiles

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