λ
Prime Ledger

7,978,844

22 × 1994711
Deficient Even Composite

7,978,844 has the prime decomposition 2^2 × 1994711. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1994711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,962,984
Proper Divisor Sum 5,984,140
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7978837 ← → #7978847

Radix Representation

Decimal 7978844
Binary 11110011011111101011100 (23 bits)
Octal 0o36337534
Hexadecimal 0x79BF5C

Divisor Catalog (6)

1 2 4 1,994,711 3,989,422 7,978,844

Collatz Trajectory (116 steps to reach 1)

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

7,978,844 3,989,422 1,994,711 5,984,134 2,992,067 8,976,202 4,488,101 13,464,304 6,732,152 3,366,076 1,683,038 841,519 2,524,558 1,262,279 3,786,838 1,893,419 5,680,258 2,840,129 8,520,388 4,260,194 2,130,097 6,390,292 3,195,146 1,597,573 4,792,720 2,396,360 1,198,180 599,090 299,545 898,636 449,318 224,659 673,978 336,989 1,010,968 505,484 252,742 126,371 379,114 189,557 568,672 284,336 142,168 71,084 35,542 17,771 53,314 26,657 79,972 39,986 19,993 59,980 29,990 14,995 44,986 22,493 67,480 33,740 16,870 8,435

More profiles

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