2473
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2474
- 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
- 2472
- Möbius Function
- -1
- Radical
- 2473
- 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
- 120
- 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
- 366
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=18A001134
- Primes p such that (p+1)/2 is prime.at n=38A005383
- a(n) = a(n-1) + a(n-2)*a(n-3) for n > 2 with a(0) = a(1) = a(2) = 1.at n=10A006888
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=33A007766
- Coordination sequence T2 for Zeolite Code PHI.at n=36A008228
- exp(sec(x)*arctan(x))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+40/5!*x^5...at n=8A012801
- cosh(sec(x)*arctan(x))=1+1/2!*x^2+5/4!*x^4+205/6!*x^6+2473/8!*x^8...at n=4A012811
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=41A014754
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=15A014755
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=1A020404
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0, a(1) = 9.at n=13A022314
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=35A023243
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=16A023274
- Number of partitions of n into an even number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an odd number of parts, each <=6.at n=48A026930
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=27A029732
- Primes that are palindromic in base 5.at n=19A029973
- a(n) = prime(9*n - 3).at n=40A031390
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=7A031420
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=7A031796
- a(n) = prime(10*n - 4).at n=36A031905