λ
Harmonic Matrix

7,765,036

22 × 1941259
Deficient Even Composite

7,765,036 has digital root 7. The neighboring primes are 7765019 and 7765103; its proper-divisor sum differs from the starting integer by -1,941,252.

Prime Factor Structure

Factorization String 2^2 × 1941259
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,588,820
Proper Divisor Sum 5,823,784
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7765019 ← → #7765103

Radix Representation

Decimal 7765036
Binary 11101100111110000101100 (23 bits)
Octal 0o35476054
Hexadecimal 0x767C2C

Divisor Catalog (6)

1 2 4 1,941,259 3,882,518 7,765,036

Collatz Trajectory (186 steps to reach 1)

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

7,765,036 3,882,518 1,941,259 5,823,778 2,911,889 8,735,668 4,367,834 2,183,917 6,551,752 3,275,876 1,637,938 818,969 2,456,908 1,228,454 614,227 1,842,682 921,341 2,764,024 1,382,012 691,006 345,503 1,036,510 518,255 1,554,766 777,383 2,332,150 1,166,075 3,498,226 1,749,113 5,247,340 2,623,670 1,311,835 3,935,506 1,967,753 5,903,260 2,951,630 1,475,815 4,427,446 2,213,723 6,641,170 3,320,585 9,961,756 4,980,878 2,490,439 7,471,318 3,735,659 11,206,978 5,603,489 16,810,468 8,405,234 4,202,617 12,607,852 6,303,926 3,151,963 9,455,890 4,727,945 14,183,836 7,091,918 3,545,959 10,637,878

More profiles

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