2253
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3008
- Proper Divisor Sum (Aliquot Sum)
- 755
- 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
- 1500
- Möbius Function
- 1
- Radical
- 2253
- 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
- no
- 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
- Numbers that are the sum of 6 positive 6th powers.at n=19A003362
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=7A004927
- Number of non-Abelian metacyclic groups of order p^n (p odd).at n=50A007983
- a(n) = n^2 + 3*n - 1.at n=46A014209
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=16A020381
- Numbers k such that Fibonacci(k) == 2 (mod k).at n=36A023174
- A B_2 sequence: a(n) is the least value such that sequence increases and pairwise sums of elements are all distinct.at n=36A025582
- Coordination sequence T3 for Zeolite Code CGS.at n=35A027367
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 30.at n=26A031528
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=20A031790
- Step at which card n appears on top of deck for first time in Guy's shuffling problem A035485.at n=54A035490
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(3,5) = cn(4,5).at n=63A036871
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(3,5) = cn(4,5).at n=63A036873
- Numbers whose base-7 representation contains exactly three 6's.at n=9A043419
- Numbers k such that string 6,6 occurs in the base 7 representation of k but not of k-1.at n=45A044186
- Numbers n such that string 1,5 occurs in the base 8 representation of n but not of n-1.at n=40A044200
- Numbers n such that string 7,3 occurs in the base 9 representation of n but not of n-1.at n=30A044317
- Numbers n such that string 5,3 occurs in the base 10 representation of n but not of n-1.at n=24A044385
- Numbers n such that string 6,6 occurs in the base 7 representation of n but not of n+1.at n=45A044567
- Numbers k such that string 1,5 occurs in the base 8 representation of k but not of k+1.at n=40A044581