4273
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
- 4274
- 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
- 4272
- Möbius Function
- -1
- Radical
- 4273
- 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
- 64
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 587
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Ramanujan's approximation to population of x^2 + y^2 <= 2^n.at n=14A000691
- Coordination sequence T2 for Zeolite Code DAC.at n=41A008068
- Expansion of E.g.f. cos(sin(sin(x))), even powers only.at n=4A009037
- Sum(a(n)*x^n/n!) = exp(sinh(sinh(x))).at n=8A009220
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=40A018806
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=2A020408
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=36A028291
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=36A031794
- Lower prime of a difference of 10 between consecutive primes.at n=57A031928
- Number of compositions (ordered partitions) of n into distinct parts >= 2.at n=28A032022
- Primes of form x^2+66*y^2.at n=32A033242
- Number of partitions of n into parts 3k or 3k+1.at n=42A035360
- Schoenheim bound L_1(n,5,4).at n=23A036832
- Primes with indices that are primes with prime indices.at n=27A038580
- Integers n such that A047988(n)=3.at n=19A047986
- Numbers n such that prime(n) - sigma(n) - phi(n) = prime(n+1) - sigma(n+1) - phi(n+1), where sigma(n) = sum of divisors of n.at n=42A048783
- Primes prime(k) for which A049076(k) = 3.at n=18A049079
- a(n) = T(n,2), array T as in A054134.at n=9A054136
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=36A055628
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=6A059287