3560
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8100
- Proper Divisor Sum (Aliquot Sum)
- 4540
- 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
- 1408
- Möbius Function
- 0
- Radical
- 890
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of n-node forests not determined by their spectra.at n=13A006611
- Coordination sequence T1 for Zeolite Code MFI.at n=38A008161
- Coordination sequence T4 for Zeolite Code MFI.at n=38A008167
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=41A013650
- a(n) = n*(9*n-2).at n=20A013656
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=19A026060
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=23A026067
- Coordination sequence T2 for Zeolite Code CGS.at n=44A027366
- Expansion of (theta_3(z)*theta_3(7z) + theta_2(z)*theta_2(7z))^4.at n=9A028596
- Numbers k such that 181*2^k+1 is prime.at n=8A032467
- Numbers n such that string 6,0 occurs in the base 10 representation of n but not of n-1.at n=38A044392
- Numbers n such that string 6,0 occurs in the base 10 representation of n but not of n+1.at n=38A044773
- Discriminants of imaginary quadratic fields with class number 24 (negated).at n=31A048925
- Numbers n such that 123*2^n-1 is prime.at n=24A050587
- Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2.at n=44A051336
- McKay-Thompson series of class 15B for Monster.at n=39A058509
- Numbers k such that phi(x) = k has exactly 5 solutions.at n=39A060668
- Numbers k such that A068976(k) divides k.at n=36A069144
- Friendly numbers (see A074902) such that sigma(n) is not friendly.at n=17A074873
- Row sums of A077070.at n=43A077071