λ
Sigma Notebook

3,997,468

22 × 911 × 1097
Deficient Even Composite

3,997,468 is even and not a perfect square. Its factorization is 2^2 × 911 × 1097 and its 12 divisors sum to 7,009,632.

Prime Factor Structure

Factorization String 2^2 × 911 × 1097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,009,632
Proper Divisor Sum 3,012,164
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #3997463 ← → #3997471

Radix Representation

Decimal 3997468
Binary 1111001111111100011100 (22 bits)
Octal 0o17177434
Hexadecimal 0x3CFF1C

Divisor Catalog (12)

1 2 4 911 1,097 1,822 2,194 3,644 4,388 999,367 1,998,734 3,997,468

Collatz Trajectory (260 steps to reach 1)

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

3,997,468 1,998,734 999,367 2,998,102 1,499,051 4,497,154 2,248,577 6,745,732 3,372,866 1,686,433 5,059,300 2,529,650 1,264,825 3,794,476 1,897,238 948,619 2,845,858 1,422,929 4,268,788 2,134,394 1,067,197 3,201,592 1,600,796 800,398 400,199 1,200,598 600,299 1,800,898 900,449 2,701,348 1,350,674 675,337 2,026,012 1,013,006 506,503 1,519,510 759,755 2,279,266 1,139,633 3,418,900 1,709,450 854,725 2,564,176 1,282,088 641,044 320,522 160,261 480,784 240,392 120,196 60,098 30,049 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355

More profiles

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