14630
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 19930
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- -1
- Radical
- 14630
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = floor(n(n+2)(2n+1)/8).at n=38A002717
- a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 7).at n=4A004986
- Shifts 5 places right under binomial transform.at n=13A010744
- Shifts 5 places left under inverse binomial transform.at n=18A010745
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=28A023073
- Positive numbers k such that k and 3*k are anagrams in base 8 (written in base 8).at n=3A023074
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=17A023075
- Theta series of A*_21 lattice.at n=72A023933
- [ (3rd elementary symmetric function of 3,4,...,n+4)/(3+4+...+n+4) ].at n=20A024191
- Expansion of 1/((1-3x)(1-9x)(1-11x)(1-12x)).at n=3A028107
- a(n) = 2*binomial(n,4).at n=22A034827
- Shapes of height-balanced AVL trees of height at most 5 with n nodes.at n=24A036662
- Numbers k such that k*2^k - (k-1) is prime.at n=19A046847
- Denominators of row 4 of table described in A051714/A051715.at n=17A051723
- At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage.at n=27A056640
- Number of partitions of n where n divides the product of the parts.at n=41A057568
- a(n) = n^4 - n.at n=11A058895
- Squarefree balanced numbers (i.e., squarefree members of A020492).at n=31A078557
- a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1.at n=38A096338
- Numbers whose set of base 11 digits is {0,A}, where A base 11 = 10 base 10.at n=14A097257