2759
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 121
- 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
- 2640
- Möbius Function
- 1
- Radical
- 2759
- 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
- 159
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T6 for Zeolite Code CON.at n=37A009873
- Coordination sequence T4 for Zeolite Code iRON.at n=37A009884
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T2 atom.at n=11A019253
- Fibonacci sequence beginning 0, 31.at n=11A022365
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = (primes).at n=16A024603
- Position of n^3 + 9 in A024975.at n=28A024979
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=31A025200
- a(n) = floor(floor(S3)/floor(S1)); where S3 and S1 are, respectively, the third and first elementary symmetric functions of {log(k)}, k = 1,2,...,n.at n=42A025210
- Sequence satisfies T^2(a)=a, where T is defined below.at n=45A027591
- An "extremely strange sequence": a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p dividing [ A*a(n)+B ] and p=2, A=4.001, B=1.2.at n=42A028948
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 51.at n=17A031549
- Numbers whose set of base 14 digits is {0,1}.at n=11A033050
- Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even.at n=21A033967
- Number of binary [ n,3 ] codes without 0 columns.at n=21A034344
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=22A036463
- Trajectory of 3 under map n->21*n+1 if n odd, n->n/2 if n even.at n=28A037108
- Positive numbers having the same set of digits in base 8 and base 9.at n=19A037441
- Coordination sequence T7 for Zeolite Code STT.at n=35A038419
- Numbers n such that string 0,7 occurs in the base 8 representation of n but not of n-1.at n=47A044194
- Numbers k such that string 0,5 occurs in the base 9 representation of k but not of k-1.at n=36A044256