2,209,104

2⁴ × 3² × 23² × 29

2,209,104 has digital root 9. The neighboring primes are 2209079 and 2209117; its proper-divisor sum differs from the starting integer by 2,267,562.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 23^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 6,685,770

Proper Divisor Sum 4,476,666

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2209079 ← → #2209117

Radix Representation

Decimal	2209104
Binary	1000011011010101010000 (22 bits)
Octal	0o10332520
Hexadecimal	0x21B550

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 522 529 552 667 696 828 1,044 1,058 1,104 1,334 1,392 1,587 1,656 2,001 2,088 2,116 2,668 3,174 3,312 4,002 4,176 4,232 4,761 5,336 6,003 6,348

Collatz Trajectory (60 steps to reach 1)

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

2,209,104 1,104,552 552,276 276,138 138,069 414,208 207,104 103,552 51,776 25,888 12,944 6,472 3,236 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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