4661
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 139
- 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
- 4524
- Möbius Function
- 1
- Radical
- 4661
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 121
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of the first n primes.at n=48A007504
- Coordination sequence T1 for Zeolite Code AEL.at n=45A008004
- Coordination sequence T2 for Zeolite Code AEL.at n=45A008005
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=44A017855
- Number of 7's in all partitions of n.at n=34A024791
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026747.at n=16A026757
- a(n) = (3*n - 1)*(4*n - 1).at n=20A033578
- Trajectory of 1 under map n->39n+1 if n odd, n->n/2 if n even.at n=13A033975
- Multiplicity of highest weight (or singular) vectors associated with character chi_61 of Monster module.at n=36A034449
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 4).at n=42A035540
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=8A045232
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i) where T is A049615.at n=49A049618
- a(n) = Sum_{i=0..floor((n+1)/2)} T(2i+1,n-2i-1) where T is A049615.at n=49A049619
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=25A050963
- Composite numbers arising as sum of first k primes.at n=41A053790
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=19A056068
- Series for 2nd perpendicular moment of square lattice bond percolation near a wall (eventually goes negative).at n=10A056601
- a(1) = 0; a(n) = smallest composite number which is a sum of n distinct primes.at n=47A073619
- Right-truncatable semiprimes.at n=38A085733
- Rows sums of the triangle A093447.at n=4A093448