λ
Sigma Notebook

6,767,824

24 × 7 × 60427
Abundant Even Composite

6,767,824 is even and not a perfect square. Its factorization is 2^4 × 7 × 60427 and its 20 divisors sum to 14,986,144.

Prime Factor Structure

Factorization String 2^4 × 7 × 60427
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,986,144
Proper Divisor Sum 8,218,320
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6767807 ← → #6767837

Radix Representation

Decimal 6767824
Binary 11001110100010011010000 (23 bits)
Octal 0o31642320
Hexadecimal 0x6744D0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 60,427 120,854 241,708 422,989 483,416 845,978 966,832 1,691,956 3,383,912 6,767,824

Collatz Trajectory (134 steps to reach 1)

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

6,767,824 3,383,912 1,691,956 845,978 422,989 1,268,968 634,484 317,242 158,621 475,864 237,932 118,966 59,483 178,450 89,225 267,676 133,838 66,919 200,758 100,379 301,138 150,569 451,708 225,854 112,927 338,782 169,391 508,174 254,087 762,262 381,131 1,143,394 571,697 1,715,092 857,546 428,773 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780 180,890 90,445 271,336 135,668 67,834 33,917 101,752 50,876 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929

More profiles

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