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Atlas › Integer Profiles › Node 3,110,408

3,110,408

23 × 7 × 67 × 829
Abundant Even Composite

3,110,408 factors as 2^3 × 7 × 67 × 829. Its 32 positive divisors give a proper-divisor sum of 3,662,392, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 67 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,772,800
Proper Divisor Sum 3,662,392
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3110399 ← → #3110417

Radix Representation

Decimal 3110408
Binary 1011110111011000001000 (22 bits)
Octal 0o13673010
Hexadecimal 0x2F7608

Divisor Catalog (32)

1 2 4 7 8 14 28 56 67 134 268 469 536 829 938 1,658 1,876 3,316 3,752 5,803 6,632 11,606 23,212 46,424 55,543 111,086 222,172 388,801 444,344 777,602 1,555,204 3,110,408

Collatz Trajectory (164 steps to reach 1)

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

3,110,408 1,555,204 777,602 388,801 1,166,404 583,202 291,601 874,804 437,402 218,701 656,104 328,052 164,026 82,013 246,040 123,020 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94

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