λ
Sigma Notebook

6,280,192

210 × 6133
Deficient Even Composite

6,280,192 is even and not a perfect square. Its factorization is 2^10 × 6133 and its 22 divisors sum to 12,556,298.

Prime Factor Structure

Factorization String 2^10 × 6133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 22
Divisor Sum (σ) 12,556,298
Proper Divisor Sum 6,276,106
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6280189 ← → #6280199

Radix Representation

Decimal 6280192
Binary 10111111101010000000000 (23 bits)
Octal 0o27752000
Hexadecimal 0x5FD400

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 6,133 12,266 24,532 49,064 98,128 196,256 392,512 785,024 1,570,048 3,140,096 6,280,192

Collatz Trajectory (59 steps to reach 1)

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

6,280,192 3,140,096 1,570,048 785,024 392,512 196,256 98,128 49,064 24,532 12,266 6,133 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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