4909
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4910
- 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
- 4908
- Möbius Function
- -1
- Radical
- 4909
- 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
- 134
- 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
- 656
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=37A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=43A001133
- Coordination sequence T4 for Zeolite Code FER.at n=43A008109
- Coordination sequence T1 for Zeolite Code HEU.at n=46A008116
- Coordination sequence T3 for Zeolite Code HEU.at n=46A008118
- Coordination sequence T4 for Zeolite Code MEL.at n=45A008153
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=15A030653
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 46.at n=0A031634
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=0A031834
- Lower prime of a difference of 10 between consecutive primes.at n=64A031928
- Primes that do not contain any other prime as a proper substring.at n=36A033274
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=27A033316
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=33A047866
- Primes of form p^3 - 4, p prime.at n=2A049003
- Euclid-Mullin sequence (A000945) with initial value a(1)=17 instead of a(1)=2.at n=23A051311
- Primes p such that a pure prime power occurs between p and the next prime.at n=37A053607
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=42A055628
- Numbers n such that 2^n in base 3 has same number of 2's as 2^(n+1) in base 3 and 2^n and 2^(n+1) have the same number of digits in base 3.at n=44A056736
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=22A060518
- Largest prime < a nontrivial power of a prime.at n=41A060845