4680
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 11700
- 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
- 1152
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 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
- a(0) = 1, a(1) = 6, a(2) = 24; for n>=3, a(n) = 4a(n-1) - a(n-2).at n=6A001352
- Coordination sequence T6 for Zeolite Code MEL.at n=44A008155
- Theta series of A_5 lattice.at n=29A008445
- [ n(n-1)(n-2)(n-3)/7 ].at n=15A011917
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=38A015708
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=37A020696
- Number of 3's in n-th term of A022470.at n=35A022474
- Expansion of Product_{m>=1} (1-m*q^m)^18.at n=5A022678
- Long leg of more than one primitive Pythagorean triangle.at n=41A024410
- a(n) = n^4 + n^3 + n^2 + n.at n=8A027445
- Expansion of 1/((1-3x)(1-5x)(1-7x)(1-9x)).at n=3A028060
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=39A028896
- Sums of distinct powers of 8.at n=30A033045
- Integers k such that j(k)*d(k)=phi(k), where j = A033831.at n=17A033853
- Numbers whose product of divisors is larger than that of any smaller number.at n=48A034287
- Product of proper divisors is larger than for any smaller number.at n=46A034288
- One half of octo-factorial numbers.at n=3A034908
- Related to A045720 and A035101.at n=5A035119
- The convolution matrix of the double factorial of odd numbers (A001147).at n=17A035342
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=29A035998