1472
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 3048
- Proper Divisor Sum (Aliquot Sum)
- 1576
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 704
- Möbius Function
- 0
- Radical
- 46
- Omega Function (Ω)
- 7
- 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
- 21
- 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
- Generalized class numbers c_(n,1).at n=23A000233
- Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc.at n=13A002843
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=7A005903
- Number of certain self-avoiding walks with n steps on square lattice (see reference for precise definition).at n=14A006144
- Coordination sequence T1 for Zeolite Code AEI.at n=29A008001
- Coordination sequence T3 for Zeolite Code AEI.at n=29A008003
- Coordination sequence T3 for Zeolite Code AFT.at n=29A008028
- Expansion of exp(tanh(x)/cosh(x)).at n=7A009275
- Index of central binomial coefficient C(2n,n) within A006987.at n=9A009561
- Coordination sequence T6 for Zeolite Code CON.at n=27A009873
- Coordination sequence T3 for Zeolite Code RSN.at n=25A009887
- Coordination sequence T3 for Zeolite Code VSV.at n=24A009916
- Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined.at n=15A015128
- Positive integers n such that 2^n (mod n) == 2^9 (mod n).at n=64A015931
- Coordination sequence T1 for Zeolite Code SAO.at n=30A019571
- Coordination sequence T4 for Zeolite Code SAO.at n=30A019574
- Discriminants of quartic fields with 2 complex conjugates (negated).at n=30A023681
- Discriminants of quartic fields with 2 complex conjugates (negated).at n=31A023681
- [ Sum (s(j) - s(i))^2 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=45A025216
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=40A025359