2252
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3948
- Proper Divisor Sum (Aliquot Sum)
- 1696
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1124
- Möbius Function
- 0
- Radical
- 1126
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- no
- 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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- The Franel number a(n) = Sum_{k = 0..n} binomial(n,k)^3.at n=5A000172
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=26A000954
- Numbers that are the sum of 5 positive 6th powers.at n=16A003361
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=50A004856
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=15A005901
- Coordination sequence T4 for Zeolite Code AFR.at n=36A008022
- Coordination sequence for diamond.at n=30A008253
- If a, b in sequence, so is ab+4.at n=37A009303
- Coordination sequence T1 for Zeolite Code -CHI.at n=30A009846
- Coordination sequence for CaF2(2), Ca position.at n=30A009926
- Expansion of 1/((1-x)(1-4x)(1-11x)).at n=3A016226
- Number of lines through exactly 5 points of an n X n grid of points.at n=30A018812
- Number of lines through exactly 9 points of an n X n grid of points.at n=57A018816
- Numbers k such that Fibonacci(k) == -3 (mod k).at n=31A023164
- Convolution of A023532 and (1, p(1), p(2), ...).at n=39A023598
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=37A023674
- Number of partitions of n into an odd number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an even number of parts, each <=6.at n=47A026926
- Expansion of Product_{d | 42} theta_3(q^d).at n=57A033754
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5) < cn(3,5).at n=57A036863
- Numerators of continued fraction convergents to sqrt(460).at n=5A041876