2989
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3534
- Proper Divisor Sum (Aliquot Sum)
- 545
- 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
- 2520
- Möbius Function
- 0
- Radical
- 427
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code BPH.at n=42A008055
- Coordination sequence T3 for Zeolite Code CAS.at n=34A008065
- Coordination sequence T1 for Zeolite Code MER.at n=40A008160
- Expansion of 1/((1-x)(1-3x)(1-6x)).at n=4A016211
- Pseudoprimes to base 48.at n=25A020176
- Pseudoprimes to base 50.at n=29A020178
- Strong pseudoprimes to base 48.at n=10A020274
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=4A020419
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026725.at n=10A026734
- Numbers having period-6 5-digitized sequences.at n=23A031190
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=7A031808
- Divisors = 1 (mod 4) of Descartes's 198585576189.at n=36A033870
- Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=32A035948
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=28A043075
- Numbers having three 5's in base 8.at n=24A043443
- Numbers n such that string 8,9 occurs in the base 10 representation of n but not of n-1.at n=29A044421
- Numbers k such that string 8,9 occurs in the base 10 representation of k but not of k+1.at n=29A044802
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n+1.at n=31A044811
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=23A045897
- Expansion of 1/((1+x)^7 - x^7).at n=8A049018