Number analysis
2,026
2,026 is a composite even number that factors as 2 × 1013.
2,026 is a composite even number that factors as 2 × 1013.
The number itself
- Value
- 2,026
- Digits
- 4
- Digit sum
- 10
- Reversed
- 6,202
- Palindrome
- No
2 + 0 + 2 + 6
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 6,202.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2 × 1013
- Squarefree
- Yes
- Semiprime
- Yes
- Möbius μ(n)
- 1
- Nearest primes
- 2,017 ← → 2,027
Divisible by 2.
Composite — it factors as 2 × 1013.
2 distinct prime factors, 2 with multiplicity.
No prime divides it twice.
A product of exactly two primes, counted with multiplicity.
(−1) to the power of 2 distinct prime factors.
A gap of 10 between them.
Divisors
- Sum of divisors σ(n)
- 3,042
- Aliquot sum
- 1,016
- Classification
- Deficient
- Euler totient φ(n)
- 1,012
1, 2, 1,013, 2,026
The proper divisors — everything except n itself.
Its proper divisors fall short by 1,010.
How many integers from 1 to n share no factor with n.
Sums and additive structure
- Sum of two squares
- Yes
- Sum of three squares
- Yes
- Sum of four squares
- Yes
- Goldbach pair
- 23 + 2,003
1² + 45² = 2,026
Legendre's three-square theorem allows it.
Lagrange's four-square theorem: every non-negative integer is, without exception.
The smallest pair of primes summing to n. Goldbach’s conjecture says one always exists; it remains unproven.
Shapes and sequences
- Figurate shapes
- None
Not triangular, square, pentagonal, hexagonal, cubic, Fibonacci, Lucas, Catalan, factorial or a power of two.
Digit curiosities
- Happy number
- Yes
- Harshad number
- No
- Collatz trajectory
- 112 steps to 1
Repeatedly summing the squares of its digits reaches 1.
Not divisible by its digit sum 10.
Peaks at 9,232 along the way.
Written other ways
- Binary
- 11111101010
- Octal
- 3752
- Hexadecimal
- 7EA
- Base 36
- 1KA
- Roman numerals
- MMXXVI
- In words
- two thousand and twenty-six
- Scientific notation
- 2.026 × 10^3
Is 2,026 a prime number?
Composite — it factors as 2 × 1013.