3946
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5922
- Proper Divisor Sum (Aliquot Sum)
- 1976
- 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
- 1972
- Möbius Function
- 1
- Radical
- 3946
- Omega Function (Ω)
- 2
- 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
- 51
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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 planar hexagon trees with n hexagons.at n=6A004127
- Weighted count of partitions with odd parts.at n=36A005896
- Coordination sequence T4 for Zeolite Code DAC.at n=40A008070
- Coordination sequence T1 for Zeolite Code MFS.at n=39A008173
- Coordination sequence T3 for Zeolite Code OSI.at n=41A016432
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=11A020372
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-10).at n=19A023440
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=29A023866
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=30A024596
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=28A024863
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=4A031421
- Concatenation of n and n+7.at n=38A032612
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=40A036926
- Coordination sequence for Zeolite Code DFT.at n=43A038408
- a(0)=a(1)=1, a(n)=a(n-2)+(n+1)*a(n-1).at n=6A058279
- McKay-Thompson series of class 22B for Monster.at n=44A058568
- McKay-Thompson series of class 44A for Monster.at n=44A058679
- Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10.at n=26A058760
- Index of the smallest prime which follows square of n-th prime.at n=43A062773
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 80 ).at n=40A063353