2471
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2832
- Proper Divisor Sum (Aliquot Sum)
- 361
- 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
- 2112
- Möbius Function
- 1
- Radical
- 2471
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- Expansion of e.g.f. exp(exp(exp(x)-1)-1).at n=6A000258
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=9A003294
- Number of inequivalent ways (mod D_4) a pair of checkers can be placed on an n X n board.at n=13A014409
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=20A014569
- Expansion of 1/(1-x^6-x^7-x^8-x^9).at n=52A017849
- Expansion of 1/((1-2x)(1-3x)(1-6x)(1-8x)).at n=3A025938
- a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=15A026046
- Number of proper factorizations of p1^n*p2^5, where p1 and p2 are distinct primes.at n=9A031128
- 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 49.at n=7A031547
- Numbers k such that 119*2^k + 1 is prime.at n=10A032409
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=20A032767
- Coordination sequence T2 for Zeolite Code SBE.at n=40A033605
- Fractional part of square root of a(n) starts with 7: first term of runs.at n=47A034113
- Triangle read by rows: matrix cube of the Stirling2 triangle A008277.at n=15A039811
- a(0)=1; a(1)=1; a(n)= a(n-1) + floor( sqrt(a(n-1)*a(n-2))+ sqrt(a(n-3)*a(n-4))+ ... ).at n=13A043327
- Numbers whose base-7 representation has exactly 5 runs.at n=12A043620
- Numbers k such that the string 4,5 occurs in the base 9 representation of k but not of k-1.at n=33A044292
- Numbers n such that string 7,1 occurs in the base 10 representation of n but not of n-1.at n=26A044403
- Numbers n such that string 4,5 occurs in the base 9 representation of n but not of n+1.at n=33A044673
- Numbers n such that string 7,1 occurs in the base 10 representation of n but not of n+1.at n=26A044784