λ
Prime Ledger

6,395,428

22 × 13 × 29 × 4241
Deficient Even Composite

6,395,428 has the prime decomposition 2^2 × 13 × 29 × 4241. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 4241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,471,480
Proper Divisor Sum 6,076,052
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6395407 ← → #6395437

Radix Representation

Decimal 6395428
Binary 11000011001011000100100 (23 bits)
Octal 0o30313044
Hexadecimal 0x619624

Divisor Catalog (24)

1 2 4 13 26 29 52 58 116 377 754 1,508 4,241 8,482 16,964 55,133 110,266 122,989 220,532 245,978 491,956 1,598,857 3,197,714 6,395,428

Collatz Trajectory (147 steps to reach 1)

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

6,395,428 3,197,714 1,598,857 4,796,572 2,398,286 1,199,143 3,597,430 1,798,715 5,396,146 2,698,073 8,094,220 4,047,110 2,023,555 6,070,666 3,035,333 9,106,000 4,553,000 2,276,500 1,138,250 569,125 1,707,376 853,688 426,844 213,422 106,711 320,134 160,067 480,202 240,101 720,304 360,152 180,076 90,038 45,019 135,058 67,529 202,588 101,294 50,647 151,942 75,971 227,914 113,957 341,872 170,936 85,468 42,734 21,367 64,102 32,051 96,154 48,077 144,232 72,116 36,058 18,029 54,088 27,044 13,522 6,761

More profiles

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