λ
Sigma Notebook

7,679,976

23 × 3 × 23 × 13913
Abundant Even Composite

7,679,976 is even and not a perfect square. Its factorization is 2^3 × 3 × 23 × 13913 and its 32 divisors sum to 20,036,160.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 13913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,036,160
Proper Divisor Sum 12,356,184
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #7679963 ← → #7679977

Radix Representation

Decimal 7679976
Binary 11101010010111111101000 (23 bits)
Octal 0o35227750
Hexadecimal 0x752FE8

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 13,913 27,826 41,739 55,652 83,478 111,304 166,956 319,999 333,912 639,998 959,997 1,279,996 1,919,994 2,559,992 3,839,988 7,679,976

Collatz Trajectory (72 steps to reach 1)

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

7,679,976 3,839,988 1,919,994 959,997 2,879,992 1,439,996 719,998 359,999 1,079,998 539,999 1,619,998 809,999 2,429,998 1,214,999 3,644,998 1,822,499 5,467,498 2,733,749 8,201,248 4,100,624 2,050,312 1,025,156 512,578 256,289 768,868 384,434 192,217 576,652 288,326 144,163 432,490 216,245 648,736 324,368 162,184 81,092 40,546 20,273 60,820 30,410 15,205 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226

More profiles

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