λ
Harmonic Matrix

8,075,974

2 × 4037987
Deficient Even Composite

8,075,974 has digital root 4. The neighboring primes are 8075957 and 8075989; its proper-divisor sum differs from the starting integer by -4,037,984.

Prime Factor Structure

Factorization String 2 × 4037987
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,113,964
Proper Divisor Sum 4,037,990
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8075957 ← → #8075989

Radix Representation

Decimal 8075974
Binary 11110110011101011000110 (23 bits)
Octal 0o36635306
Hexadecimal 0x7B3AC6

Divisor Catalog (4)

1 2 4,037,987 8,075,974

Collatz Trajectory (93 steps to reach 1)

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

8,075,974 4,037,987 12,113,962 6,056,981 18,170,944 9,085,472 4,542,736 2,271,368 1,135,684 567,842 283,921 851,764 425,882 212,941 638,824 319,412 159,706 79,853 239,560 119,780 59,890 29,945 89,836 44,918 22,459 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424

More profiles

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