λ
Harmonic Matrix

7,397,794

2 × 41 × 90217
Deficient Even Composite

7,397,794 has digital root 1. The neighboring primes are 7397777 and 7397801; its proper-divisor sum differs from the starting integer by -3,428,120.

Prime Factor Structure

Factorization String 2 × 41 × 90217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,367,468
Proper Divisor Sum 3,969,674
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7397777 ← → #7397801

Radix Representation

Decimal 7397794
Binary 11100001110000110100010 (23 bits)
Octal 0o34160642
Hexadecimal 0x70E1A2

Divisor Catalog (8)

1 2 41 82 90,217 180,434 3,698,897 7,397,794

Collatz Trajectory (204 steps to reach 1)

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

7,397,794 3,698,897 11,096,692 5,548,346 2,774,173 8,322,520 4,161,260 2,080,630 1,040,315 3,120,946 1,560,473 4,681,420 2,340,710 1,170,355 3,511,066 1,755,533 5,266,600 2,633,300 1,316,650 658,325 1,974,976 987,488 493,744 246,872 123,436 61,718 30,859 92,578 46,289 138,868 69,434 34,717 104,152 52,076 26,038 13,019 39,058 19,529 58,588 29,294 14,647 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930

More profiles

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