λ
Harmonic Matrix

1,067,685

3 × 5 × 17 × 53 × 79
Deficient Odd Composite

1,067,685 has digital root 6. The neighboring primes are 1067669 and 1067687; its proper-divisor sum differs from the starting integer by -269,130.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 53 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,866,240
Proper Divisor Sum 798,555
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1067669 ← → #1067687

Radix Representation

Decimal 1067685
Binary 100000100101010100101 (21 bits)
Octal 0o4045245
Hexadecimal 0x104AA5

Divisor Catalog (32)

1 3 5 15 17 51 53 79 85 159 237 255 265 395 795 901 1,185 1,343 2,703 4,029 4,187 4,505 6,715 12,561 13,515 20,145 20,935 62,805 71,179 213,537 355,895 1,067,685

Collatz Trajectory (152 steps to reach 1)

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

1,067,685 3,203,056 1,601,528 800,764 400,382 200,191 600,574 300,287 900,862 450,431 1,351,294 675,647 2,026,942 1,013,471 3,040,414 1,520,207 4,560,622 2,280,311 6,840,934 3,420,467 10,261,402 5,130,701 15,392,104 7,696,052 3,848,026 1,924,013 5,772,040 2,886,020 1,443,010 721,505 2,164,516 1,082,258 541,129 1,623,388 811,694 405,847 1,217,542 608,771 1,826,314 913,157 2,739,472 1,369,736 684,868 342,434 171,217 513,652 256,826 128,413 385,240 192,620 96,310 48,155 144,466 72,233 216,700 108,350 54,175 162,526 81,263 243,790

More profiles

← Previous Integer #1,067,684 Browse Full Index Next Integer #1,067,686 →