4953
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7168
- Proper Divisor Sum (Aliquot Sum)
- 2215
- 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
- 3024
- Möbius Function
- -1
- Radical
- 4953
- Omega Function (Ω)
- 3
- 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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 4 positive 6th powers.at n=21A003360
- Coordination sequence T4 for Zeolite Code DDR.at n=44A008074
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=21A011939
- Number of partitions of n into 10 unordered relatively prime parts.at n=32A023030
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 46.at n=24A031544
- Numbers k such that 233*2^k+1 is prime.at n=19A032493
- Denominators of continued fraction convergents to sqrt(859).at n=9A042659
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1, a(2) = 3, and a(3) = 4.at n=11A049979
- Truncated triangular pyramid numbers: a(n) = (n-5)*(n^2 + 8*n - 66)/6.at n=25A051939
- McKay-Thompson series of class 42a for Monster.at n=43A058675
- Numbers that are sums of divisors of the odd squares; Intersection of A065764 and A065766, written in ascending order and duplicates removed.at n=31A065768
- Numbers k that divide 2^(k+3) - 1.at n=29A069927
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=16A075893
- Numbers n such that 6*10^n + 5*R_n - 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=20A103039
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=16A109182
- Numbers of the form m = p1 * p2 * p3 where for each d|m we have (d+m/d)/2 prime and p1 < p2 < p3 each prime.at n=28A128284
- Multiples of 127.at n=39A138127
- a(n) = n*(3*n + 10).at n=39A140678
- a(n) = Sum_{k=1..n} k*d(k) where d(k) is the number of divisors of k.at n=46A143127
- Positive integers whose binary representation is a palindrome and has a prime number of 1's.at n=44A144753