λ
Prime Ledger

7,876,676

22 × 479 × 4111
Deficient Even Composite

7,876,676 has the prime decomposition 2^2 × 479 × 4111. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 479 × 4111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,816,320
Proper Divisor Sum 5,939,644
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7876663 ← → #7876679

Radix Representation

Decimal 7876676
Binary 11110000011000001000100 (23 bits)
Octal 0o36030104
Hexadecimal 0x783044

Divisor Catalog (12)

1 2 4 479 958 1,916 4,111 8,222 16,444 1,969,169 3,938,338 7,876,676

Collatz Trajectory (67 steps to reach 1)

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

7,876,676 3,938,338 1,969,169 5,907,508 2,953,754 1,476,877 4,430,632 2,215,316 1,107,658 553,829 1,661,488 830,744 415,372 207,686 103,843 311,530 155,765 467,296 233,648 116,824 58,412 29,206 14,603 43,810 21,905 65,716 32,858 16,429 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

More profiles

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