3548
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6216
- Proper Divisor Sum (Aliquot Sum)
- 2668
- 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
- 1772
- Möbius Function
- 0
- Radical
- 1774
- 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
- 56
- 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
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=41A000954
- Coordination sequence T1 for Zeolite Code MFS.at n=37A008173
- Coordination sequence T2 for Zeolite Code NES.at n=38A008206
- Positive integers k such that k-th triangular number is palindromic.at n=20A008509
- a(n) = ((n+1)-st Lucas number) - (n-th non-Lucas number).at n=15A014243
- Number of partitions of n into 10 unordered relatively prime parts.at n=30A023030
- Numbers k such that Fibonacci(k) == -3 (mod k).at n=46A023164
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=23A023545
- Coordination sequence T6 for Zeolite Code MWW.at n=39A024991
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=26A025212
- Multiplicity of highest weight (or singular) vectors associated with character chi_174 of Monster module.at n=38A034562
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=2A047826
- a(n) = ceiling(binomial(n,4)/n).at n=45A053618
- McKay-Thompson series of class 24H for Monster.at n=21A058578
- Triangle T(n,k) giving number of 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3).at n=33A059684
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 49 ).at n=38A063322
- Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n.at n=38A066321
- Index of the largest n-digit palindromic triangular number, or 0 if no such number exists.at n=6A068644
- Numbers n whose sum of divisors and number of divisors are both triangular numbers.at n=14A070996
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=17A071319