λ
Prime Ledger

7,979,982

2 × 3 × 487 × 2731
Abundant Even Composite

7,979,982 has the prime decomposition 2 × 3 × 487 × 2731. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 487 × 2731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,998,592
Proper Divisor Sum 8,018,610
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #7979969 ← → #7980013

Radix Representation

Decimal 7979982
Binary 11110011100001111001110 (23 bits)
Octal 0o36341716
Hexadecimal 0x79C3CE

Divisor Catalog (16)

1 2 3 6 487 974 1,461 2,731 2,922 5,462 8,193 16,386 1,329,997 2,659,994 3,989,991 7,979,982

Collatz Trajectory (279 steps to reach 1)

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

7,979,982 3,989,991 11,969,974 5,984,987 17,954,962 8,977,481 26,932,444 13,466,222 6,733,111 20,199,334 10,099,667 30,299,002 15,149,501 45,448,504 22,724,252 11,362,126 5,681,063 17,043,190 8,521,595 25,564,786 12,782,393 38,347,180 19,173,590 9,586,795 28,760,386 14,380,193 43,140,580 21,570,290 10,785,145 32,355,436 16,177,718 8,088,859 24,266,578 12,133,289 36,399,868 18,199,934 9,099,967 27,299,902 13,649,951 40,949,854 20,474,927 61,424,782 30,712,391 92,137,174 46,068,587 138,205,762 69,102,881 207,308,644 103,654,322 51,827,161 155,481,484 77,740,742 38,870,371 116,611,114 58,305,557 174,916,672 87,458,336 43,729,168 21,864,584 10,932,292

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