λ
Sigma Notebook

7,830,389

7 × 373 × 2999
Deficient Odd Composite

7,830,389 is odd and not a perfect square. Its factorization is 7 × 373 × 2999 and its 8 divisors sum to 8,976,000.

Prime Factor Structure

Factorization String 7 × 373 × 2999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,976,000
Proper Divisor Sum 1,145,611
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7830371 ← → #7830437

Radix Representation

Decimal 7830389
Binary 11101110111101101110101 (23 bits)
Octal 0o35675565
Hexadecimal 0x777B75

Divisor Catalog (8)

1 7 373 2,611 2,999 20,993 1,118,627 7,830,389

Collatz Trajectory (217 steps to reach 1)

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

7,830,389 23,491,168 11,745,584 5,872,792 2,936,396 1,468,198 734,099 2,202,298 1,101,149 3,303,448 1,651,724 825,862 412,931 1,238,794 619,397 1,858,192 929,096 464,548 232,274 116,137 348,412 174,206 87,103 261,310 130,655 391,966 195,983 587,950 293,975 881,926 440,963 1,322,890 661,445 1,984,336 992,168 496,084 248,042 124,021 372,064 186,032 93,016 46,508 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279

More profiles

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