λ
Harmonic Matrix

2,267,021

503 × 4507
Deficient Odd Composite

2,267,021 has digital root 2. The neighboring primes are 2267011 and 2267029; its proper-divisor sum differs from the starting integer by -2,262,010.

Prime Factor Structure

Factorization String 503 × 4507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,272,032
Proper Divisor Sum 5,011
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2267011 ← → #2267029

Radix Representation

Decimal 2267021
Binary 1000101001011110001101 (22 bits)
Octal 0o10513615
Hexadecimal 0x22978D

Divisor Catalog (4)

1 503 4,507 2,267,021

Collatz Trajectory (104 steps to reach 1)

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

2,267,021 6,801,064 3,400,532 1,700,266 850,133 2,550,400 1,275,200 637,600 318,800 159,400 79,700 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

More profiles

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