2,827,014

2 × 3 × 31 × 15199

2,827,014 has digital root 6. The neighboring primes are 2826997 and 2827031; its proper-divisor sum differs from the starting integer by 182,772.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 15199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,836,800

Proper Divisor Sum 3,009,786

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2826997 ← → #2827031

Radix Representation

Decimal	2827014
Binary	1010110010001100000110 (22 bits)
Octal	0o12621406
Hexadecimal	0x2B2306

Divisor Catalog (16)

1 2 3 6 31 62 93 186 15,199 30,398 45,597 91,194 471,169 942,338 1,413,507 2,827,014

Collatz Trajectory (107 steps to reach 1)

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

2,827,014 1,413,507 4,240,522 2,120,261 6,360,784 3,180,392 1,590,196 795,098 397,549 1,192,648 596,324 298,162 149,081 447,244 223,622 111,811 335,434 167,717 503,152 251,576 125,788 62,894 31,447 94,342 47,171 141,514 70,757 212,272 106,136 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990

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