λ
Sigma Notebook

2,016,760

23 × 5 × 127 × 397
Abundant Even Composite

2,016,760 is even and not a perfect square. Its factorization is 2^3 × 5 × 127 × 397 and its 32 divisors sum to 4,584,960.

Prime Factor Structure

Factorization String 2^3 × 5 × 127 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,584,960
Proper Divisor Sum 2,568,200
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2016739 ← → #2016787

Radix Representation

Decimal 2016760
Binary 111101100010111111000 (21 bits)
Octal 0o7542770
Hexadecimal 0x1EC5F8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 127 254 397 508 635 794 1,016 1,270 1,588 1,985 2,540 3,176 3,970 5,080 7,940 15,880 50,419 100,838 201,676 252,095 403,352 504,190 1,008,380 2,016,760

Collatz Trajectory (135 steps to reach 1)

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

2,016,760 1,008,380 504,190 252,095 756,286 378,143 1,134,430 567,215 1,701,646 850,823 2,552,470 1,276,235 3,828,706 1,914,353 5,743,060 2,871,530 1,435,765 4,307,296 2,153,648 1,076,824 538,412 269,206 134,603 403,810 201,905 605,716 302,858 151,429 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161 45,484 22,742 11,371 34,114 17,057 51,172 25,586 12,793

More profiles

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