1852
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
- 6
- Divisor Sum
- 3248
- Proper Divisor Sum (Aliquot Sum)
- 1396
- 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
- 924
- Möbius Function
- 0
- Radical
- 926
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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 nonnegative solutions to x^2 + y^2 <= n^2.at n=48A000603
- Number of permutations of [n] with n-3 sequences.at n=3A001759
- Numbers k such that phi(2k+1) < phi(2k).at n=23A001837
- Dowling numbers: e.g.f. exp(x + (exp(b*x)-1)/b) with b=9.at n=4A003581
- Expansion of (x^6-x^5-x^4+2x^2)/((1-x^3)(1-x^2)^2(1-x)).at n=46A007988
- Coordination sequence T2 for Zeolite Code ATS.at n=31A008039
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=34A008137
- Coordination sequence for Paracelsian.at n=29A008260
- a(n) = n OR n^2 (applied to ternary expansions).at n=42A008467
- Molien series for A_7.at n=30A008630
- Coordination sequence T3 for Zeolite Code VSV.at n=27A009916
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=40A011914
- Partial sums of primes, if 1 is regarded as a prime (as it was until quite recently, see A008578).at n=32A014284
- Coordination sequence T6 for Zeolite Code TER.at n=29A016438
- Pseudoprimes to base 21.at n=11A020149
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=1A020395
- a(n) = floor( a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ), for n >= 3 with a(1) = 1 and a(2) = 3.at n=27A022877
- Convolution of A023532 and A001950.at n=41A023603
- a(n) = [ (2nd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=43A024531
- Number of partitions of n into an odd number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an even number of parts, each <=6.at n=45A026926