2245
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2700
- Proper Divisor Sum (Aliquot Sum)
- 455
- 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
- 1792
- Möbius Function
- 1
- Radical
- 2245
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Centered square numbers: a(n) = 2*n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values.at n=33A001844
- Number of solutions to a linear inequality.at n=42A002797
- Number of domino tilings of 4 X (n-1) board.at n=9A005178
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=23A007773
- Coordination sequence T2 for Zeolite Code DOH.at n=29A008079
- Coordination sequence T2 for Coesite.at n=25A008268
- Coordination sequence T3 for Zeolite Code RSN.at n=31A009887
- Expansion of 1/((1-3x)(1-4x)(1-10x)).at n=3A016981
- Coordination sequence T2 for Zeolite Code SAO.at n=37A019572
- Pseudoprimes to base 67.at n=26A020195
- Strong pseudoprimes to base 67.at n=6A020293
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=29A020369
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=30A026065
- a(n) = diagonal sum of left justified array T given by A027113.at n=20A027131
- Coordination sequence T1 for Zeolite Code CGS.at n=35A027365
- Molien series for complete weight enumerator of self-dual code over GF(5) containing all-1's vector.at n=11A028345
- Number of perfect matchings in graph P_{8} X P_{n}.at n=4A028470
- Numbers k such that 21*2^k+1 is prime.at n=21A032360
- Coordination sequence T1 for Zeolite Code SBT.at n=38A033612
- Odd composite numbers n such that the digit sum of n equals digit sum of sum of its prime factors (counted with multiplicity).at n=29A036923