4969
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4970
- 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
- 4968
- Möbius Function
- -1
- Radical
- 4969
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 665
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 - k - 1.at n=39A002327
- a(n) = a(n-1) + 2*a(n-3).at n=16A003476
- Representation degeneracies for Neveu-Schwarz strings.at n=21A005299
- Coordination sequence T4 for Zeolite Code NES.at n=45A008208
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=34A014755
- Powers of fourth root of 6 rounded up.at n=19A018062
- Numbers k such that the continued fraction for sqrt(k) has period 95.at n=1A020434
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=18A031806
- Primes that do not contain any other prime as a proper substring.at n=37A033274
- Smallest k>1 such that k(p-1)-1 is divisible by p^2, p=n-th prime.at n=19A039914
- Primes p such that x^23 = 2 has no solution mod p.at n=31A040984
- Denominators of continued fraction convergents to sqrt(34).at n=9A041057
- Denominators of continued fraction convergents to sqrt(136).at n=9A041249
- Primes of the form n*phi(n)-1 where phi is the Euler function (in order of appearance).at n=32A046078
- Primes whose sum of digits is the perfect number 28.at n=3A048517
- Primes whose digits are composite; primes having only {4, 6, 8, 9} as digits.at n=5A051416
- Primes p whose period of reciprocal equals (p-1)/6.at n=32A056211
- Birthday set of order 9: i.e., numbers congruent to +- 1 modulo 2, 3, 4, 5, 6, 7, 8 and 9.at n=30A057541
- Smallest primitive prime factor of the n-th Lucas number (A000032); i.e., L(n), L(0) = 2, L(1) = 1 and L(n) = L(n-1) + L(n-2).at n=46A058036
- Primes with 11 as smallest positive primitive root.at n=24A061324