4973
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4974
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4972
- Möbius Function
- -1
- Radical
- 4973
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 72
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 666
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=24A003143
- a(n) = prime(n*(n+1)/2).at n=35A011756
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=17A020366
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=43A023247
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=31A023280
- Primes of form n^2 + n + 3.at n=11A027753
- Lower prime of a pair of consecutive primes having a difference of 14.at n=27A031932
- a(n) = floor(n^3 / Pi).at n=25A032633
- Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=32A035965
- Numbers having three 5's in base 8.at n=29A043443
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 7.at n=16A050956
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=23A052029
- Primes with distinct digits in alphabetical order (in English).at n=27A053435
- Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1.at n=21A054471
- Number of polyominoes with n cells, symmetric about diagonal 2.at n=36A056878
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=31A063373
- Initial terms of groups in A075639.at n=36A075641
- Primes of the form 2*x^3 + 3*x^2 + 5*x + 7.at n=6A078625
- First prime after phi(prime(n)^2).at n=19A079477
- Primes equal to floor(Pi*x) where x is prime.at n=34A079593