λ
Harmonic Matrix

8,425,867

1051 × 8017
Deficient Odd Composite

8,425,867 has digital root 4. The neighboring primes are 8425861 and 8425871; its proper-divisor sum differs from the starting integer by -8,416,798.

Prime Factor Structure

Factorization String 1051 × 8017
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,434,936
Proper Divisor Sum 9,069
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8425861 ← → #8425871

Radix Representation

Decimal 8425867
Binary 100000001001000110001011 (24 bits)
Octal 0o40110613
Hexadecimal 0x80918B

Divisor Catalog (4)

1 1,051 8,017 8,425,867

Collatz Trajectory (230 steps to reach 1)

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

8,425,867 25,277,602 12,638,801 37,916,404 18,958,202 9,479,101 28,437,304 14,218,652 7,109,326 3,554,663 10,663,990 5,331,995 15,995,986 7,997,993 23,993,980 11,996,990 5,998,495 17,995,486 8,997,743 26,993,230 13,496,615 40,489,846 20,244,923 60,734,770 30,367,385 91,102,156 45,551,078 22,775,539 68,326,618 34,163,309 102,489,928 51,244,964 25,622,482 12,811,241 38,433,724 19,216,862 9,608,431 28,825,294 14,412,647 43,237,942 21,618,971 64,856,914 32,428,457 97,285,372 48,642,686 24,321,343 72,964,030 36,482,015 109,446,046 54,723,023 164,169,070 82,084,535 246,253,606 123,126,803 369,380,410 184,690,205 554,070,616 277,035,308 138,517,654 69,258,827

More profiles

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