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Atlas › Integer Profiles › Node 2,908,710

2,908,710

2 × 37 × 5 × 7 × 19
Abundant Even Composite

2,908,710 factors as 2 × 3^7 × 5 × 7 × 19. Its 128 positive divisors give a proper-divisor sum of 6,537,690, so this integer is abundant. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 2 × 3^7 × 5 × 7 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 9,446,400
Proper Divisor Sum 6,537,690
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2908687 ← → #2908721

Radix Representation

Decimal 2908710
Binary 1011000110001000100110 (22 bits)
Octal 0o13061046
Hexadecimal 0x2C6226

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 243 266 270 285 315 342 378 399 405 486 513 567 570 630 665 729 798 810 855 945 1,026 1,134 1,197 1,215

Collatz Trajectory (50 steps to reach 1)

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

2,908,710 1,454,355 4,363,066 2,181,533 6,544,600 3,272,300 1,636,150 818,075 2,454,226 1,227,113 3,681,340 1,840,670 920,335 2,761,006 1,380,503 4,141,510 2,070,755 6,212,266 3,106,133 9,318,400 4,659,200 2,329,600 1,164,800 582,400 291,200 145,600 72,800 36,400 18,200 9,100 4,550 2,275 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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