λ
Harmonic Matrix

8,330,745

3 × 5 × 555383
Deficient Odd Composite

8,330,745 has digital root 3. The neighboring primes are 8330701 and 8330753; its proper-divisor sum differs from the starting integer by -3,332,274.

Prime Factor Structure

Factorization String 3 × 5 × 555383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,329,216
Proper Divisor Sum 4,998,471
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8330701 ← → #8330753

Radix Representation

Decimal 8330745
Binary 11111110001110111111001 (23 bits)
Octal 0o37616771
Hexadecimal 0x7F1DF9

Divisor Catalog (8)

1 3 5 15 555,383 1,666,149 2,776,915 8,330,745

Collatz Trajectory (137 steps to reach 1)

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

8,330,745 24,992,236 12,496,118 6,248,059 18,744,178 9,372,089 28,116,268 14,058,134 7,029,067 21,087,202 10,543,601 31,630,804 15,815,402 7,907,701 23,723,104 11,861,552 5,930,776 2,965,388 1,482,694 741,347 2,224,042 1,112,021 3,336,064 1,668,032 834,016 417,008 208,504 104,252 52,126 26,063 78,190 39,095 117,286 58,643 175,930 87,965 263,896 131,948 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807

More profiles

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