2794
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4608
- Proper Divisor Sum (Aliquot Sum)
- 1814
- 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
- 1260
- Möbius Function
- -1
- Radical
- 2794
- Omega Function (Ω)
- 3
- 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
- 35
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coordination sequence T1 for Zeolite Code MOR.at n=34A008182
- Coordination sequence T4 for Zeolite Code -CLO.at n=46A009853
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=3A014895
- Numbers k such that k | 10^k + 10.at n=15A015902
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=8A020391
- Numbers with exactly 6 1's in their ternary expansion.at n=25A023697
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A000201 (lower Wythoff sequence).at n=17A025107
- a(n) = greatest number in row n of A026098 that is not a positive power of 2.at n=49A026104
- Coordination sequence T1 for Zeolite Code SAT.at n=38A027373
- Sequence satisfies T^2(a)=a, where T is defined below.at n=48A027587
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=30A031790
- Sums of distinct powers of 7.at n=29A033044
- Multiplicity of highest weight (or singular) vectors associated with character chi_94 of Monster module.at n=36A034482
- Dirichlet convolution of Fibonacci numbers with sigma(n).at n=17A034747
- Number of partitions of n into parts not of the form 19k, 19k+8 or 19k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=27A035977
- Positive numbers having the same set of digits in base 2 and base 7.at n=24A037412
- Coordination sequence T2 for Zeolite Code STT.at n=35A038423
- Coordination sequence T1 for Zeolite Code STT.at n=35A038428
- Sums of 4 distinct powers of 7.at n=3A038483
- Numbers whose base-7 representation contains exactly four 1's.at n=3A043400