λ
Prime Ledger

4,470,201

33 × 17 × 9739
Deficient Odd Composite

4,470,201 has the prime decomposition 3^3 × 17 × 9739. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17 × 9739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,012,800
Proper Divisor Sum 2,542,599
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4470163 ← → #4470209

Radix Representation

Decimal 4470201
Binary 10001000011010110111001 (23 bits)
Octal 0o21032671
Hexadecimal 0x4435B9

Divisor Catalog (16)

1 3 9 17 27 51 153 459 9,739 29,217 87,651 165,563 262,953 496,689 1,490,067 4,470,201

Collatz Trajectory (149 steps to reach 1)

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

4,470,201 13,410,604 6,705,302 3,352,651 10,057,954 5,028,977 15,086,932 7,543,466 3,771,733 11,315,200 5,657,600 2,828,800 1,414,400 707,200 353,600 176,800 88,400 44,200 22,100 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

More profiles

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