λ
Harmonic Matrix

597,410

2 × 5 × 11 × 5431
Deficient Even Composite

597,410 has digital root 8. The neighboring primes are 597409 and 597419; its proper-divisor sum differs from the starting integer by -21,508.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 5431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,173,312
Proper Divisor Sum 575,902
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #597409 ← → #597419

Radix Representation

Decimal 597410
Binary 10010001110110100010 (20 bits)
Octal 0o2216642
Hexadecimal 0x91DA2

Divisor Catalog (16)

1 2 5 10 11 22 55 110 5,431 10,862 27,155 54,310 59,741 119,482 298,705 597,410

Collatz Trajectory (97 steps to reach 1)

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

597,410 298,705 896,116 448,058 224,029 672,088 336,044 168,022 84,011 252,034 126,017 378,052 189,026 94,513 283,540 141,770 70,885 212,656 106,328 53,164 26,582 13,291 39,874 19,937 59,812 29,906 14,953 44,860 22,430 11,215 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632

More profiles

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