1416
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
- 16
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 2184
- 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
- 464
- Möbius Function
- 0
- Radical
- 354
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=22A001103
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=48A001996
- a(n) = Sum_{k|n} mu(k)*Catalan(n/k) (mu = Moebius function A008683).at n=7A002996
- Number of unsensed planar maps with n edges.at n=6A006385
- Denominator of B_{2n}/(-4n), where B_m are the Bernoulli numbers.at n=29A006863
- Numbers that are divisible by the product of their digits.at n=48A007602
- Coordination sequence T4 for Zeolite Code DOH.at n=23A008081
- Coordination sequence T1 for Zeolite Code LTN.at n=26A008140
- Coordination sequence T3 for Zeolite Code MTN.at n=23A008188
- Coordination sequence T2 for Zeolite Code iRON.at n=26A009882
- Coordination sequence T1 for Zeolite Code RTH.at n=26A009893
- Numbers n such that phi(n) | sigma_7(n).at n=41A015765
- Coordination sequence T4 for Zeolite Code CGF.at n=26A019454
- a(n) = n*(11*n+1)/2.at n=16A022269
- n-th 8k+1 prime plus n-th 8k+7 prime.at n=29A022761
- n-th 8k+3 prime plus n-th 8k+5 prime.at n=33A022763
- Expansion of g.f. (x^3 - 6*x^2 + 5*x - 1)/((2*x - 1)*(2*x^2 - 4*x + 1)).at n=8A024175
- Index of 7^n within the sequence of the numbers of the form 7^i*8^j.at n=54A025725
- Index of 10^n within the sequence of the numbers of the form 3^i*10^j.at n=36A025741
- Triangle T by rows: second differences of Motzkin triangle (A026300), (i >= -1, -1<=j<=i).at n=64A026120