3573
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5174
- Proper Divisor Sum (Aliquot Sum)
- 1601
- 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
- 2376
- Möbius Function
- 0
- Radical
- 1191
- Omega Function (Ω)
- 3
- 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
- 74
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-1) + a(n-2) - 2, a(0) = 4, a(1) = 3.at n=17A000211
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=24A006416
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes that is non-deficient.at n=39A007684
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes which is abundant.at n=39A007707
- Coordination sequence T1 for Zeolite Code AFS.at n=46A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=46A008055
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=42A020381
- Number of maximum matchings in the n-Moebius ladder M_n.at n=17A020878
- Numbers k such that Fib(k) == -34 (mod k).at n=26A023169
- a(n) = integer nearest a(n-1)/(sqrt(7) - 2), where a(1) = 1.at n=18A024567
- Euler transform of 4 3 2 1 1 1 1 1 1 1 ...at n=10A029860
- "DGJ" (bracelet, element, labeled) transform of 2,1,1,1...at n=8A032223
- Multiplicity of highest weight (or singular) vectors associated with character chi_3 of Monster module.at n=47A034391
- Concatenations C1 and C2 are both prime (see the comment lines).at n=43A034815
- Number of partitions of n into parts not of the form 9k, 9k+4 or 9k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 3 are greater than 1.at n=36A035943
- Numbers n such that string 7,3 occurs in the base 10 representation of n but not of n-1.at n=38A044405
- Numbers n such that string 7,3 occurs in the base 10 representation of n but not of n+1.at n=38A044786
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=15A045127
- a(n) = Sum_{k=0..n} A047848(k, n-k).at n=7A047857
- Expansion of (1 - x + 3*x^3 - 2*x^4 - 3*x^5)/(1 - 2*x + x^3).at n=17A048162