2,127,249

3³ × 78787

2,127,249 has digital root 9. The neighboring primes are 2127163 and 2127269; its proper-divisor sum differs from the starting integer by -1,102,978.

Prime Factor Structure

Factorization String 3^3 × 78787

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,151,520

Proper Divisor Sum 1,024,271

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2127163 ← → #2127269

Radix Representation

Decimal	2127249
Binary	1000000111010110010001 (22 bits)
Octal	0o10072621
Hexadecimal	0x207591

Divisor Catalog (8)

1 3 9 27 78,787 236,361 709,083 2,127,249

Collatz Trajectory (104 steps to reach 1)

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

2,127,249 6,381,748 3,190,874 1,595,437 4,786,312 2,393,156 1,196,578 598,289 1,794,868 897,434 448,717 1,346,152 673,076 336,538 168,269 504,808 252,404 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498

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