λ
Harmonic Matrix

4,346,945

5 × 37 × 23497
Deficient Odd Composite

4,346,945 has digital root 8. The neighboring primes are 4346941 and 4346981; its proper-divisor sum differs from the starting integer by -3,336,346.

Prime Factor Structure

Factorization String 5 × 37 × 23497
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,357,544
Proper Divisor Sum 1,010,599
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4346941 ← → #4346981

Radix Representation

Decimal 4346945
Binary 10000100101010001000001 (23 bits)
Octal 0o20452101
Hexadecimal 0x425441

Divisor Catalog (8)

1 5 37 185 23,497 117,485 869,389 4,346,945

Collatz Trajectory (74 steps to reach 1)

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

4,346,945 13,040,836 6,520,418 3,260,209 9,780,628 4,890,314 2,445,157 7,335,472 3,667,736 1,833,868 916,934 458,467 1,375,402 687,701 2,063,104 1,031,552 515,776 257,888 128,944 64,472 32,236 16,118 8,059 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22

More profiles

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