4,173,201

3⁴ × 51521

4,173,201 has digital root 9. The neighboring primes are 4173181 and 4173209; its proper-divisor sum differs from the starting integer by -2,112,240.

Prime Factor Structure

Factorization String 3^4 × 51521

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 6,234,162

Proper Divisor Sum 2,060,961

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4173181 ← → #4173209

Radix Representation

Decimal	4173201
Binary	1111111010110110010001 (22 bits)
Octal	0o17726621
Hexadecimal	0x3FAD91

Divisor Catalog (10)

1 3 9 27 81 51,521 154,563 463,689 1,391,067 4,173,201

Collatz Trajectory (105 steps to reach 1)

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

4,173,201 12,519,604 6,259,802 3,129,901 9,389,704 4,694,852 2,347,426 1,173,713 3,521,140 1,760,570 880,285 2,640,856 1,320,428 660,214 330,107 990,322 495,161 1,485,484 742,742 371,371 1,114,114 557,057 1,671,172 835,586 417,793 1,253,380 626,690 313,345 940,036 470,018 235,009 705,028 352,514 176,257 528,772 264,386 132,193 396,580 198,290 99,145 297,436 148,718 74,359 223,078 111,539 334,618 167,309 501,928 250,964 125,482 62,741 188,224 94,112 47,056 23,528 11,764 5,882 2,941 8,824 4,412

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