2,677,590

2 × 3³ × 5 × 47 × 211

2,677,590 has digital root 9. The neighboring primes are 2677589 and 2677607; its proper-divisor sum differs from the starting integer by 1,971,540.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 47 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 7,326,720

Proper Divisor Sum 4,649,130

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2677589 ← → #2677607

Radix Representation

Decimal	2677590
Binary	1010001101101101010110 (22 bits)
Octal	0o12155526
Hexadecimal	0x28DB56

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 211 235 270 282 422 423 470 633 705 846 1,055 1,266 1,269 1,410 1,899 2,110 2,115 2,538 3,165 3,798 4,230 5,697 6,330 6,345 9,495 9,917 11,394 12,690 18,990 19,834 28,485 29,751 49,585 56,970 59,502 89,253 99,170 148,755 178,506 267,759 297,510 446,265

Collatz Trajectory (293 steps to reach 1)

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

2,677,590 1,338,795 4,016,386 2,008,193 6,024,580 3,012,290 1,506,145 4,518,436 2,259,218 1,129,609 3,388,828 1,694,414 847,207 2,541,622 1,270,811 3,812,434 1,906,217 5,718,652 2,859,326 1,429,663 4,288,990 2,144,495 6,433,486 3,216,743 9,650,230 4,825,115 14,475,346 7,237,673 21,713,020 10,856,510 5,428,255 16,284,766 8,142,383 24,427,150 12,213,575 36,640,726 18,320,363 54,961,090 27,480,545 82,441,636 41,220,818 20,610,409 61,831,228 30,915,614 15,457,807 46,373,422 23,186,711 69,560,134 34,780,067 104,340,202 52,170,101 156,510,304 78,255,152 39,127,576 19,563,788 9,781,894 4,890,947 14,672,842 7,336,421 22,009,264

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