4664
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9720
- Proper Divisor Sum (Aliquot Sum)
- 5056
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2080
- Möbius Function
- 0
- Radical
- 1166
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T3 for Zeolite Code MOR.at n=44A008184
- Coordination sequence T4 for Zeolite Code MOR.at n=44A008185
- Coordination sequence for MgNi2, Position Ni1.at n=17A009933
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=26A015990
- a(n) = floor(Gamma(n+1/11) / Gamma(1/11)).at n=9A020059
- Cubeful (i.e., not cubefree) palindromes.at n=23A035133
- Numbers whose maximal base-6 run length is 4.at n=30A037987
- Denominators of continued fraction convergents to sqrt(113).at n=12A041205
- Palindromes that start with 4.at n=18A043039
- Numbers having four 3's in base 6.at n=14A043384
- Palindromic and divisible by 4.at n=33A045639
- Palindromic and divisible by 8.at n=17A045643
- Palindromes with exactly 5 prime factors (counted with multiplicity).at n=12A046331
- Palindromes expressible as the sum of 4 consecutive palindromes.at n=4A046499
- a(n) is the smallest palindrome > a(n-1) such that a(1)+a(2)+...+a(n) is a prime.at n=18A051934
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=22A058229
- Palindromic numbers with even digits.at n=37A062287
- a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists.at n=28A072041
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=35A075342
- Palindromic even numbers with an odd number of prime factors (counted with multiplicity).at n=31A075817