2746
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4122
- Proper Divisor Sum (Aliquot Sum)
- 1376
- 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
- 1372
- Möbius Function
- 1
- Radical
- 2746
- 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
- 128
- Smith Number
- no
- 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 points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=14A005905
- Number of set-like atomic species of degree n.at n=51A007650
- Coordination sequence for {A_7}* lattice.at n=4A008535
- If a, b in sequence, so is ab+6.at n=31A009307
- Coordination sequence T3 for Zeolite Code DFO.at n=40A009877
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=45A011913
- From George Gilbert's marks problem: jumping 6 marks at a time (final positions).at n=7A019996
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=3A020388
- Pisot sequences E(5,7), P(5,7).at n=17A020711
- Pisot sequences E(7,10), P(7,10).at n=16A020721
- Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(3,9).at n=6A022020
- Numbers whose set of base-13 digits is {1,3}.at n=21A032920
- a(n) = (n-1)*(n-2)*(n-3) + n.at n=15A034324
- Denominators of continued fraction convergents to sqrt(602).at n=8A042155
- Numbers n such that string 8,1 occurs in the base 9 representation of n but not of n-1.at n=36A044324
- Numbers n such that string 4,6 occurs in the base 10 representation of n but not of n-1.at n=30A044378
- Numbers n such that string 8,1 occurs in the base 9 representation of n but not of n+1.at n=36A044705
- Numbers n such that string 4,6 occurs in the base 10 representation of n but not of n+1.at n=30A044759
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=1A044885
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=6A045258