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Atlas › Integer Profiles › Node 2,986,104

2,986,104

23 × 3 × 11 × 11311
Abundant Even Composite

2,986,104 factors as 2^3 × 3 × 11 × 11311. Its 32 positive divisors give a proper-divisor sum of 5,158,536, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 11311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,144,640
Proper Divisor Sum 5,158,536
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2986103 ← → #2986111

Radix Representation

Decimal 2986104
Binary 1011011001000001111000 (22 bits)
Octal 0o13310170
Hexadecimal 0x2D9078

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 11,311 22,622 33,933 45,244 67,866 90,488 124,421 135,732 248,842 271,464 373,263 497,684 746,526 995,368 1,493,052 2,986,104

Collatz Trajectory (89 steps to reach 1)

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

2,986,104 1,493,052 746,526 373,263 1,119,790 559,895 1,679,686 839,843 2,519,530 1,259,765 3,779,296 1,889,648 944,824 472,412 236,206 118,103 354,310 177,155 531,466 265,733 797,200 398,600 199,300 99,650 49,825 149,476 74,738 37,369 112,108 56,054 28,027 84,082 42,041 126,124 63,062 31,531 94,594 47,297 141,892 70,946 35,473 106,420 53,210 26,605 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944

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