4214
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7524
- Proper Divisor Sum (Aliquot Sum)
- 3310
- 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
- 1764
- Möbius Function
- 0
- Radical
- 602
- Omega Function (Ω)
- 4
- 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
- 157
- 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 17*2^k - 1 is prime.at n=23A001774
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=5A004929
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=45A008013
- Coordination sequence T1 for Zeolite Code LIO.at n=45A008129
- Coordination sequence T3 for Zeolite Code LIO.at n=45A008131
- Coordination sequence T4 for Zeolite Code LTN.at n=45A008143
- Coordination sequence T10 for Zeolite Code MFI.at n=41A008162
- Coordination sequence T7 for Zeolite Code MTW.at n=42A008202
- Coordination sequence T1 for Zeolite Code ATO.at n=43A008265
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=18A010004
- Expansion of Product_{m>=1} 1/(1 + m*q^m)^7.at n=10A022699
- a(n) = T(n,n-2), T given by A026568. Also a(n) = number of integer strings s(0), ..., s(n) counted by T, such that s(n) = 2.at n=9A026571
- Number of proper factorizations of p1^n*p2^4, where p1 and p2 are distinct primes.at n=12A031127
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=38A035955
- Number of partitions of n into parts not of the form 23k, 23k+7 or 23k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=29A035995
- Product of n with sum of next n consecutive integers.at n=13A036659
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) < cn(1,5) + cn(4,5) + cn(3,5).at n=28A039846
- Numbers k such that 6*7^k - 1 is prime.at n=17A046866
- Numbers n such that n | 10^n + 9^n + 1.at n=21A057295
- Triangle T(n,k) of coefficients of Meixner polynomials of degree n, k=0..n.at n=40A060338