λ
Sigma Notebook

2,686,476

22 × 3 × 13 × 17 × 1013
Abundant Even Composite

2,686,476 is even and not a perfect square. Its factorization is 2^2 × 3 × 13 × 17 × 1013 and its 48 divisors sum to 7,154,784.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 17 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,154,784
Proper Divisor Sum 4,468,308
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2686471 ← → #2686477

Radix Representation

Decimal 2686476
Binary 1010001111111000001100 (22 bits)
Octal 0o12177014
Hexadecimal 0x28FE0C

Divisor Catalog (48)

1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1,013 1,326 2,026 2,652 3,039 4,052 6,078 12,156 13,169 17,221 26,338 34,442 39,507 51,663 52,676 68,884 79,014 103,326 158,028 206,652 223,873 447,746 671,619 895,492 1,343,238 2,686,476

Collatz Trajectory (94 steps to reach 1)

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

2,686,476 1,343,238 671,619 2,014,858 1,007,429 3,022,288 1,511,144 755,572 377,786 188,893 566,680 283,340 141,670 70,835 212,506 106,253 318,760 159,380 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842

More profiles

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