λ
Sigma Notebook

2,267,818

2 × 72 × 73 × 317
Deficient Even Composite

2,267,818 is even and not a perfect square. Its factorization is 2 × 7^2 × 73 × 317 and its 24 divisors sum to 4,023,972.

Prime Factor Structure

Factorization String 2 × 7^2 × 73 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,023,972
Proper Divisor Sum 1,756,154
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2267813 ← → #2267827

Radix Representation

Decimal 2267818
Binary 1000101001101010101010 (22 bits)
Octal 0o10515252
Hexadecimal 0x229AAA

Divisor Catalog (24)

1 2 7 14 49 73 98 146 317 511 634 1,022 2,219 3,577 4,438 7,154 15,533 23,141 31,066 46,282 161,987 323,974 1,133,909 2,267,818

Collatz Trajectory (148 steps to reach 1)

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

2,267,818 1,133,909 3,401,728 1,700,864 850,432 425,216 212,608 106,304 53,152 26,576 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

More profiles

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