λ
Harmonic Matrix

6,328,197

32 × 19 × 23 × 1609
Deficient Odd Composite

6,328,197 has digital root 9. The neighboring primes are 6328193 and 6328207; its proper-divisor sum differs from the starting integer by -2,609,994.

Prime Factor Structure

Factorization String 3^2 × 19 × 23 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,046,400
Proper Divisor Sum 3,718,203
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6328193 ← → #6328207

Radix Representation

Decimal 6328197
Binary 11000001000111110000101 (23 bits)
Octal 0o30107605
Hexadecimal 0x608F85

Divisor Catalog (24)

1 3 9 19 23 57 69 171 207 437 1,311 1,609 3,933 4,827 14,481 30,571 37,007 91,713 111,021 275,139 333,063 703,133 2,109,399 6,328,197

Collatz Trajectory (271 steps to reach 1)

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

6,328,197 18,984,592 9,492,296 4,746,148 2,373,074 1,186,537 3,559,612 1,779,806 889,903 2,669,710 1,334,855 4,004,566 2,002,283 6,006,850 3,003,425 9,010,276 4,505,138 2,252,569 6,757,708 3,378,854 1,689,427 5,068,282 2,534,141 7,602,424 3,801,212 1,900,606 950,303 2,850,910 1,425,455 4,276,366 2,138,183 6,414,550 3,207,275 9,621,826 4,810,913 14,432,740 7,216,370 3,608,185 10,824,556 5,412,278 2,706,139 8,118,418 4,059,209 12,177,628 6,088,814 3,044,407 9,133,222 4,566,611 13,699,834 6,849,917 20,549,752 10,274,876 5,137,438 2,568,719 7,706,158 3,853,079 11,559,238 5,779,619 17,338,858 8,669,429

More profiles

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