2262
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 2778
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 672
- Möbius Function
- 1
- Radical
- 2262
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of partitions into non-integral powers.at n=23A000148
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=39A000326
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=47A002381
- Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.at n=23A002892
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=16A003274
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=34A003453
- The generalized Conway-Guy sequence w^{2}.at n=13A006756
- Coordination sequence T6 for Zeolite Code MTT.at n=29A008194
- Coordination sequence T5 for Zeolite Code NON.at n=29A008216
- Coordination sequence T4 for Zeolite Code -CHI.at n=30A009849
- Coordination sequence for MgNi2, Position Ni2.at n=12A009932
- Coordination sequence for FeS2-Pyrite, S position.at n=23A009956
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8).at n=19A013985
- Even pentagonal numbers.at n=19A014633
- Number of ordered oriented multigraphs on n labeled arcs (without loops).at n=4A020560
- Fibonacci sequence beginning 0, 6.at n=14A022089
- a(n) is least k such that k and 6k are anagrams in base n (written in base 10).at n=23A023098
- a(n) = (prime(n)^2 - 1)/24.at n=48A024702
- a(n) = n^2 + n + 6.at n=47A027691
- Numbers k such that 229*2^k+1 is prime.at n=8A032491