3164
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6384
- Proper Divisor Sum (Aliquot Sum)
- 3220
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1344
- Möbius Function
- 0
- Radical
- 1582
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- 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)^2*(1-x^2)*(1-x^3)).at n=45A000601
- Numbers k such that k^64 + 1 is prime.at n=33A006316
- a(n) = n*(4*n+1).at n=28A007742
- Coordination sequence T7 for Zeolite Code EUO.at n=35A008102
- Coordination sequence T1 for Zeolite Code MEL.at n=36A008150
- Coordination sequence T2 for Zeolite Code MFS.at n=35A008174
- Coordination sequence T2 for Zeolite Code DFO.at n=43A009876
- Nearest integer to (n/2)^4.at n=15A011863
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=22A023867
- Number of distributive lattices; also number of paths with n turns when light is reflected from 7 glass plates.at n=5A025030
- Index of 10^n within the sequence of the numbers of the form 2^i*10^j.at n=43A025740
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 4.at n=40A031428
- Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order.at n=48A035928
- Positive numbers having the same set of digits in base 8 and base 10.at n=18A037442
- Numbers n such that string 6,4 occurs in the base 10 representation of n but not of n-1.at n=34A044396
- Numbers n such that string 6,4 occurs in the base 10 representation of n but not of n+1.at n=34A044777
- T(n,n), array T given by A047020.at n=8A047022
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=26A050263
- Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables.at n=72A050446
- Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals.at n=71A050447