2867
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2976
- Proper Divisor Sum (Aliquot Sum)
- 109
- 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
- 2760
- Möbius Function
- 1
- Radical
- 2867
- 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
- 27
- 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
- 7th-order maximal independent sets in path graph.at n=52A007381
- Indices of last windows of trapezoidal maps.at n=12A007873
- Coordination sequence T1 for Zeolite Code BPH.at n=41A008055
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=48A017864
- Number of connected numbers (A029827) in the interval [2^(n-1)+1, 2^n].at n=14A036381
- Numbers whose concatenation of prime factors (with multiplicity) is a square.at n=13A038693
- Denominators of continued fraction convergents to sqrt(160).at n=10A041295
- Numbers n such that string 6,7 occurs in the base 10 representation of n but not of n-1.at n=31A044399
- Numbers n such that string 6,7 occurs in the base 10 representation of n but not of n+1.at n=31A044780
- Numbers whose base-4 representation contains exactly two 0's and three 3's.at n=21A045074
- a(n) = Sum_{i=0..n} A047060(i,n-i).at n=13A047061
- Terms of Binary Gleichniszahlen-Reihe (BGR) sequence A045998 converted into decimal (Look and Say Sequence, mod 2, read in binary and converted to decimal).at n=13A048522
- n-th 6k+1 prime times n-th 6k-1 prime.at n=6A048629
- n-th 4k+1 prime times n-th 4k-1 prime.at n=7A048630
- a(n)=T(n,n), array T as in A049723.at n=30A049728
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=11A054999
- Let m = 3, 5, 7, ..., k = 0, 1, 2, 3, ..., z = (m+1)/2, 0 < j <= m. Let n_j be a prime number. Sequence gives T(m,k) = Table[m,k] = number of solutions to Sum_{d=1,2, ..., (z+k)}(n_j)_d = Sum_{d=1,2, ..., (z-k-1)}(n_j)_d = primorial number (A002110).at n=57A057611
- Numerator of 1/49 - 1/n^2.at n=47A061047
- Numbers k such that sigma(k) - phi(k) is a cube.at n=21A062385
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=7A067374