λ
Sigma Notebook

8,379,777

3 × 7 × 53 × 7529
Deficient Odd Composite

8,379,777 is odd and not a perfect square. Its factorization is 3 × 7 × 53 × 7529 and its 16 divisors sum to 13,011,840.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 7529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,011,840
Proper Divisor Sum 4,632,063
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8379769 ← → #8379781

Radix Representation

Decimal 8379777
Binary 11111111101110110000001 (23 bits)
Octal 0o37756601
Hexadecimal 0x7FDD81

Divisor Catalog (16)

1 3 7 21 53 159 371 1,113 7,529 22,587 52,703 158,109 399,037 1,197,111 2,793,259 8,379,777

Collatz Trajectory (199 steps to reach 1)

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

8,379,777 25,139,332 12,569,666 6,284,833 18,854,500 9,427,250 4,713,625 14,140,876 7,070,438 3,535,219 10,605,658 5,302,829 15,908,488 7,954,244 3,977,122 1,988,561 5,965,684 2,982,842 1,491,421 4,474,264 2,237,132 1,118,566 559,283 1,677,850 838,925 2,516,776 1,258,388 629,194 314,597 943,792 471,896 235,948 117,974 58,987 176,962 88,481 265,444 132,722 66,361 199,084 99,542 49,771 149,314 74,657 223,972 111,986 55,993 167,980 83,990 41,995 125,986 62,993 188,980 94,490 47,245 141,736 70,868 35,434 17,717 53,152

More profiles

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