λ
Sigma Notebook

8,626,048

27 × 67391
Deficient Even Composite

8,626,048 is even and not a perfect square. Its factorization is 2^7 × 67391 and its 16 divisors sum to 17,184,960.

Prime Factor Structure

Factorization String 2^7 × 67391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,184,960
Proper Divisor Sum 8,558,912
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8626043 ← → #8626061

Radix Representation

Decimal 8626048
Binary 100000111001111110000000 (24 bits)
Octal 0o40717600
Hexadecimal 0x839F80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 67,391 134,782 269,564 539,128 1,078,256 2,156,512 4,313,024 8,626,048

Collatz Trajectory (168 steps to reach 1)

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

8,626,048 4,313,024 2,156,512 1,078,256 539,128 269,564 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520

More profiles

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