4,797,009

3³ × 7 × 17 × 1493

4,797,009 is odd and not a perfect square. Its factorization is 3^3 × 7 × 17 × 1493 and its 32 divisors sum to 8,605,440.

Prime Factor Structure

Factorization String 3^3 × 7 × 17 × 1493

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,605,440

Proper Divisor Sum 3,808,431

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4797007 ← → #4797017

Radix Representation

Decimal	4797009
Binary	10010010011001001010001 (23 bits)
Octal	0o22231121
Hexadecimal	0x493251

Divisor Catalog (32)

1 3 7 9 17 21 27 51 63 119 153 189 357 459 1,071 1,493 3,213 4,479 10,451 13,437 25,381 31,353 40,311 76,143 94,059 177,667 228,429 282,177 533,001 685,287 1,599,003 4,797,009

Collatz Trajectory (193 steps to reach 1)

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

4,797,009 14,391,028 7,195,514 3,597,757 10,793,272 5,396,636 2,698,318 1,349,159 4,047,478 2,023,739 6,071,218 3,035,609 9,106,828 4,553,414 2,276,707 6,830,122 3,415,061 10,245,184 5,122,592 2,561,296 1,280,648 640,324 320,162 160,081 480,244 240,122 120,061 360,184 180,092 90,046 45,023 135,070 67,535 202,606 101,303 303,910 151,955 455,866 227,933 683,800 341,900 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074

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