2553
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3648
- Proper Divisor Sum (Aliquot Sum)
- 1095
- 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
- 1584
- Möbius Function
- -1
- Radical
- 2553
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 177
- 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
- no
- Odd
- yes
Appears in sequences
- Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4), ....at n=13A001891
- Number of strict 3rd-order maximal independent sets in cycle graph.at n=36A007392
- Number of maximal antichains in rooted plane trees on n nodes.at n=7A007853
- Coordination sequence T2 for Zeolite Code AET.at n=35A008008
- Coordination sequence T1 for Zeolite Code AWW.at n=36A008045
- Coordination sequence T1 for Zeolite Code CAS.at n=31A008063
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=22A008778
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=43A011911
- Coordination sequence T7 for Zeolite Code TER.at n=34A016439
- Pseudoprimes to base 31.at n=22A020159
- Pseudoprimes to base 38.at n=22A020166
- Pseudoprimes to base 43.at n=35A020171
- Pseudoprimes to base 68.at n=39A020196
- Pseudoprimes to base 73.at n=37A020201
- Pseudoprimes to base 80.at n=22A020208
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=35A026059
- a(n) = n^2 + n + 3.at n=50A027688
- 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 32.at n=23A031530
- Initial number for record sum of numbers in trajectory of 3x+1 problem.at n=24A033495
- a(n) = (2*n+1)*(10*n+1).at n=11A033574