λ
Harmonic Matrix

7,669,841

37 × 207293
Deficient Odd Composite

7,669,841 has digital root 5. The neighboring primes are 7669819 and 7669843; its proper-divisor sum differs from the starting integer by -7,462,510.

Prime Factor Structure

Factorization String 37 × 207293
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,877,172
Proper Divisor Sum 207,331
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7669819 ← → #7669843

Radix Representation

Decimal 7669841
Binary 11101010000100001010001 (23 bits)
Octal 0o35204121
Hexadecimal 0x750851

Divisor Catalog (4)

1 37 207,293 7,669,841

Collatz Trajectory (124 steps to reach 1)

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

7,669,841 23,009,524 11,504,762 5,752,381 17,257,144 8,628,572 4,314,286 2,157,143 6,471,430 3,235,715 9,707,146 4,853,573 14,560,720 7,280,360 3,640,180 1,820,090 910,045 2,730,136 1,365,068 682,534 341,267 1,023,802 511,901 1,535,704 767,852 383,926 191,963 575,890 287,945 863,836 431,918 215,959 647,878 323,939 971,818 485,909 1,457,728 728,864 364,432 182,216 91,108 45,554 22,777 68,332 34,166 17,083 51,250 25,625 76,876 38,438 19,219 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652

More profiles

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