2025
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 15
- Divisor Sum
- 3751
- Proper Divisor Sum (Aliquot Sum)
- 1726
- 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
- 1080
- Möbius Function
- 0
- Radical
- 15
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 156
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sum of first n cubes; or n-th triangular number squared.at n=9A000537
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=40A001365
- a(n) = 1^n + 2^n + ... + 9^n.at n=3A001556
- Number of transfer impedances of an n-terminal network.at n=4A003129
- Numerators of coefficients of Green function for cubic lattice.at n=3A003280
- Numbers of the form 3^i*5^j with i, j >= 0.at n=22A003593
- Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=22A004101
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=17A005919
- Number of ways of arranging 2n+1 nonattacking semi-queens on a (2n+1) X (2n+1) toroidal board.at n=4A006717
- Product of the proper divisors of n.at n=44A007956
- Coordination sequence T2 for Zeolite Code AEI.at n=34A008002
- Coordination sequence T3 for Zeolite Code AEI.at n=34A008003
- Coordination sequence T3 for Zeolite Code AFT.at n=34A008028
- Coordination sequence T3 for Zeolite Code LAU.at n=32A008126
- Coordination sequence T2 for Zeolite Code MTT.at n=28A008190
- Square the entries of Pascal's triangle.at n=63A008459
- Square the entries of Pascal's triangle.at n=57A008459
- Powers of 45.at n=2A009989
- Triangle of coefficients in expansion of (3+5x)^n.at n=16A013622
- Squares of elements in Pascal triangle (by row) that are not 1.at n=37A014719