λ
Sigma Notebook

400,562

2 × 37 × 5413
Deficient Even Composite

400,562 is even and not a perfect square. Its factorization is 2 × 37 × 5413 and its 8 divisors sum to 617,196.

Prime Factor Structure

Factorization String 2 × 37 × 5413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 617,196
Proper Divisor Sum 216,634
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #400559 ← → #400579

Radix Representation

Decimal 400562
Binary 1100001110010110010 (19 bits)
Octal 0o1416262
Hexadecimal 0x61CB2

Divisor Catalog (8)

1 2 37 74 5,413 10,826 200,281 400,562

Collatz Trajectory (192 steps to reach 1)

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

400,562 200,281 600,844 300,422 150,211 450,634 225,317 675,952 337,976 168,988 84,494 42,247 126,742 63,371 190,114 95,057 285,172 142,586 71,293 213,880 106,940 53,470 26,735 80,206 40,103 120,310 60,155 180,466 90,233 270,700 135,350 67,675 203,026 101,513 304,540 152,270 76,135 228,406 114,203 342,610 171,305 513,916 256,958 128,479 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734 365,867 1,097,602 548,801

More profiles

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