λ
Sigma Notebook

2,640,110

2 × 5 × 11 × 24001
Deficient Even Composite

2,640,110 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 24001 and its 16 divisors sum to 5,184,432.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 24001
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,184,432
Proper Divisor Sum 2,544,322
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2640067 ← → #2640137

Radix Representation

Decimal 2640110
Binary 1010000100100011101110 (22 bits)
Octal 0o12044356
Hexadecimal 0x2848EE

Divisor Catalog (16)

1 2 5 10 11 22 55 110 24,001 48,002 120,005 240,010 264,011 528,022 1,320,055 2,640,110

Collatz Trajectory (156 steps to reach 1)

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

2,640,110 1,320,055 3,960,166 1,980,083 5,940,250 2,970,125 8,910,376 4,455,188 2,227,594 1,113,797 3,341,392 1,670,696 835,348 417,674 208,837 626,512 313,256 156,628 78,314 39,157 117,472 58,736 29,368 14,684 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

More profiles

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