λ
Sigma Notebook

7,855,976

23 × 257 × 3821
Deficient Even Composite

7,855,976 is even and not a perfect square. Its factorization is 2^3 × 257 × 3821 and its 16 divisors sum to 14,791,140.

Prime Factor Structure

Factorization String 2^3 × 257 × 3821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,791,140
Proper Divisor Sum 6,935,164
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7855973 ← → #7856011

Radix Representation

Decimal 7855976
Binary 11101111101111101101000 (23 bits)
Octal 0o35757550
Hexadecimal 0x77DF68

Divisor Catalog (16)

1 2 4 8 257 514 1,028 2,056 3,821 7,642 15,284 30,568 981,997 1,963,994 3,927,988 7,855,976

Collatz Trajectory (124 steps to reach 1)

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

7,855,976 3,927,988 1,963,994 981,997 2,945,992 1,472,996 736,498 368,249 1,104,748 552,374 276,187 828,562 414,281 1,242,844 621,422 310,711 932,134 466,067 1,398,202 699,101 2,097,304 1,048,652 524,326 262,163 786,490 393,245 1,179,736 589,868 294,934 147,467 442,402 221,201 663,604 331,802 165,901 497,704 248,852 124,426 62,213 186,640 93,320 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385

More profiles

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