3544
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6660
- Proper Divisor Sum (Aliquot Sum)
- 3116
- 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
- 1768
- Möbius Function
- 0
- Radical
- 886
- Omega Function (Ω)
- 4
- 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
- Expansion of 1/((1+x)*(1-x)^10).at n=6A001781
- Expansion of (1/theta_4(q)^2 -1)/4 in powers of q.at n=11A002318
- Coordination sequence T1 for Zeolite Code AEI.at n=45A008001
- Coordination sequence T3 for Zeolite Code MTN.at n=35A008188
- Powers of fifth root of 7 rounded up.at n=21A018134
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=22A020385
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=20A022875
- Numbers k such that Fib(k) == -21 (mod k).at n=32A023168
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=30A025524
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 13.at n=31A031511
- Number of ways to partition n elements into pie slices each with at least 2 elements allowing the pie to be turned over.at n=24A032278
- Concatenation of n and n + 9 or {n,n+9}.at n=34A032614
- Number of matchings in graph C_{7} X P_{n}.at n=2A033519
- Number of partitions of n into parts 4k+1 or 4k+2.at n=44A035365
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n-1.at n=35A044376
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n+1.at n=35A044757
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=25A046015
- Numbers k such that k*2^k - k - 1 is prime.at n=16A046843
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=28A048134
- Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=19A053596