4676
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9408
- Proper Divisor Sum (Aliquot Sum)
- 4732
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1992
- Möbius Function
- 0
- Radical
- 2338
- 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
- yes
- 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
- 59
- 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
- Sum of fourth powers: 0^4 + 1^4 + ... + n^4.at n=7A000538
- a(n) = 1^n + 2^n + ... + 7^n.at n=4A001554
- Coordination sequence for MgCu2, Mg position.at n=17A009931
- a(n) = floor(n*(n-1)*(n-2)/7).at n=33A011889
- Even pentagonal numbers.at n=28A014633
- Sum of (Gaussian) q-binomial coefficients for q=-9.at n=4A015173
- Fibonacci sequence beginning 4, 30.at n=12A022387
- Number of partitions of n with equal number of parts congruent to each of 2 and 3 (mod 4).at n=39A035545
- Number of digits in all (2n+1)-digit palindromic primes.at n=3A039657
- Pentagonal numbers with even index.at n=28A049452
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=29A051897
- Euler transform applied three times to partition triangle A008284.at n=42A055886
- McKay-Thompson series of class 36D for the Monster simple group.at n=36A058647
- Numbers n such that phi(4n+1) = sigma(n).at n=3A067234
- Numbers k such that sigma(k) = phi(k*bigomega(k)+1).at n=33A067876
- Smallest number a(n)>a(n-1) such that T(a(n-1))+T(a(n))=T(m) for some m, a(1)=3; T(i) are the triangular numbers.at n=20A072522
- Number of ways to label the vertices of the octahedron (or faces of the cube) with nonnegative integers summing to n, where labelings that differ only by rotation or reflection are considered the same.at n=26A097513
- a(1) = 1, a(2) = 2, a(3) = 2, a(4) = 3, for n >= 3, a(n+2) = a(n+1) + a(n)*floor(n/2)*ceiling(n/2).at n=9A098738
- (1/30)*(p(p+1)(2p+1)(3p^2+3p-1)) where p is prime.at n=3A098997
- Numbers n whose abundance is 56.at n=39A101260