λ
Harmonic Matrix

2,846,895

3 × 5 × 53 × 3581
Deficient Odd Composite

2,846,895 has digital root 6. The neighboring primes are 2846873 and 2846929; its proper-divisor sum differs from the starting integer by -1,051,518.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 3581
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,642,272
Proper Divisor Sum 1,795,377
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2846873 ← → #2846929

Radix Representation

Decimal 2846895
Binary 1010110111000010101111 (22 bits)
Octal 0o12670257
Hexadecimal 0x2B70AF

Divisor Catalog (16)

1 3 5 15 53 159 265 795 3,581 10,743 17,905 53,715 189,793 569,379 948,965 2,846,895

Collatz Trajectory (213 steps to reach 1)

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

2,846,895 8,540,686 4,270,343 12,811,030 6,405,515 19,216,546 9,608,273 28,824,820 14,412,410 7,206,205 21,618,616 10,809,308 5,404,654 2,702,327 8,106,982 4,053,491 12,160,474 6,080,237 18,240,712 9,120,356 4,560,178 2,280,089 6,840,268 3,420,134 1,710,067 5,130,202 2,565,101 7,695,304 3,847,652 1,923,826 961,913 2,885,740 1,442,870 721,435 2,164,306 1,082,153 3,246,460 1,623,230 811,615 2,434,846 1,217,423 3,652,270 1,826,135 5,478,406 2,739,203 8,217,610 4,108,805 12,326,416 6,163,208 3,081,604 1,540,802 770,401 2,311,204 1,155,602 577,801 1,733,404 866,702 433,351 1,300,054 650,027

More profiles

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