λ
Harmonic Matrix

6,326,091

32 × 17 × 173 × 239
Deficient Odd Composite

6,326,091 has digital root 9. The neighboring primes are 6326087 and 6326119; its proper-divisor sum differs from the starting integer by -2,880,342.

Prime Factor Structure

Factorization String 3^2 × 17 × 173 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,771,840
Proper Divisor Sum 3,445,749
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6326087 ← → #6326119

Radix Representation

Decimal 6326091
Binary 11000001000011101001011 (23 bits)
Octal 0o30103513
Hexadecimal 0x60874B

Divisor Catalog (24)

1 3 9 17 51 153 173 239 519 717 1,557 2,151 2,941 4,063 8,823 12,189 26,469 36,567 41,347 124,041 372,123 702,899 2,108,697 6,326,091

Collatz Trajectory (59 steps to reach 1)

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

6,326,091 18,978,274 9,489,137 28,467,412 14,233,706 7,116,853 21,350,560 10,675,280 5,337,640 2,668,820 1,334,410 667,205 2,001,616 1,000,808 500,404 250,202 125,101 375,304 187,652 93,826 46,913 140,740 70,370 35,185 105,556 52,778 26,389 79,168 39,584 19,792 9,896 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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