λ
Prime Ledger

4,336,479

32 × 7 × 17 × 4049
Deficient Odd Composite

4,336,479 has the prime decomposition 3^2 × 7 × 17 × 4049. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 4049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,581,600
Proper Divisor Sum 3,245,121
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4336471 ← → #4336481

Radix Representation

Decimal 4336479
Binary 10000100010101101011111 (23 bits)
Octal 0o20425537
Hexadecimal 0x422B5F

Divisor Catalog (24)

1 3 7 9 17 21 51 63 119 153 357 1,071 4,049 12,147 28,343 36,441 68,833 85,029 206,499 255,087 481,831 619,497 1,445,493 4,336,479

Collatz Trajectory (118 steps to reach 1)

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

4,336,479 13,009,438 6,504,719 19,514,158 9,757,079 29,271,238 14,635,619 43,906,858 21,953,429 65,860,288 32,930,144 16,465,072 8,232,536 4,116,268 2,058,134 1,029,067 3,087,202 1,543,601 4,630,804 2,315,402 1,157,701 3,473,104 1,736,552 868,276 434,138 217,069 651,208 325,604 162,802 81,401 244,204 122,102 61,051 183,154 91,577 274,732 137,366 68,683 206,050 103,025 309,076 154,538 77,269 231,808 115,904 57,952 28,976 14,488 7,244 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588

More profiles

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