λ
Sigma Notebook

2,627,005

5 × 173 × 3037
Deficient Odd Composite

2,627,005 is odd and not a perfect square. Its factorization is 5 × 173 × 3037 and its 8 divisors sum to 3,171,672.

Prime Factor Structure

Factorization String 5 × 173 × 3037
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,171,672
Proper Divisor Sum 544,667
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2626973 ← → #2627021

Radix Representation

Decimal 2627005
Binary 1010000001010110111101 (22 bits)
Octal 0o12012675
Hexadecimal 0x2815BD

Divisor Catalog (8)

1 5 173 865 3,037 15,185 525,401 2,627,005

Collatz Trajectory (187 steps to reach 1)

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

2,627,005 7,881,016 3,940,508 1,970,254 985,127 2,955,382 1,477,691 4,433,074 2,216,537 6,649,612 3,324,806 1,662,403 4,987,210 2,493,605 7,480,816 3,740,408 1,870,204 935,102 467,551 1,402,654 701,327 2,103,982 1,051,991 3,155,974 1,577,987 4,733,962 2,366,981 7,100,944 3,550,472 1,775,236 887,618 443,809 1,331,428 665,714 332,857 998,572 499,286 249,643 748,930 374,465 1,123,396 561,698 280,849 842,548 421,274 210,637 631,912 315,956 157,978 78,989 236,968 118,484 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777

More profiles

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