λ
Sigma Notebook

5,978,780

22 × 5 × 233 × 1283
Abundant Even Composite

5,978,780 is even and not a perfect square. Its factorization is 2^2 × 5 × 233 × 1283 and its 24 divisors sum to 12,619,152.

Prime Factor Structure

Factorization String 2^2 × 5 × 233 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,619,152
Proper Divisor Sum 6,640,372
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5978737 ← → #5978783

Radix Representation

Decimal 5978780
Binary 10110110011101010011100 (23 bits)
Octal 0o26635234
Hexadecimal 0x5B3A9C

Divisor Catalog (24)

1 2 4 5 10 20 233 466 932 1,165 1,283 2,330 2,566 4,660 5,132 6,415 12,830 25,660 298,939 597,878 1,195,756 1,494,695 2,989,390 5,978,780

Collatz Trajectory (258 steps to reach 1)

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

5,978,780 2,989,390 1,494,695 4,484,086 2,242,043 6,726,130 3,363,065 10,089,196 5,044,598 2,522,299 7,566,898 3,783,449 11,350,348 5,675,174 2,837,587 8,512,762 4,256,381 12,769,144 6,384,572 3,192,286 1,596,143 4,788,430 2,394,215 7,182,646 3,591,323 10,773,970 5,386,985 16,160,956 8,080,478 4,040,239 12,120,718 6,060,359 18,181,078 9,090,539 27,271,618 13,635,809 40,907,428 20,453,714 10,226,857 30,680,572 15,340,286 7,670,143 23,010,430 11,505,215 34,515,646 17,257,823 51,773,470 25,886,735 77,660,206 38,830,103 116,490,310 58,245,155 174,735,466 87,367,733 262,103,200 131,051,600 65,525,800 32,762,900 16,381,450 8,190,725

More profiles

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