λ
Sigma Notebook

8,313,752

23 × 37 × 28087
Deficient Even Composite

8,313,752 is even and not a perfect square. Its factorization is 2^3 × 37 × 28087 and its 16 divisors sum to 16,010,160.

Prime Factor Structure

Factorization String 2^3 × 37 × 28087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,010,160
Proper Divisor Sum 7,696,408
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8313737 ← → #8313763

Radix Representation

Decimal 8313752
Binary 11111101101101110011000 (23 bits)
Octal 0o37555630
Hexadecimal 0x7EDB98

Divisor Catalog (16)

1 2 4 8 37 74 148 296 28,087 56,174 112,348 224,696 1,039,219 2,078,438 4,156,876 8,313,752

Collatz Trajectory (93 steps to reach 1)

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

8,313,752 4,156,876 2,078,438 1,039,219 3,117,658 1,558,829 4,676,488 2,338,244 1,169,122 584,561 1,753,684 876,842 438,421 1,315,264 657,632 328,816 164,408 82,204 41,102 20,551 61,654 30,827 92,482 46,241 138,724 69,362 34,681 104,044 52,022 26,011 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465

More profiles

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