2753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2754
- 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
- 2752
- Möbius Function
- -1
- Radical
- 2753
- 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
- 128
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 402
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerators of Van der Pol numbers.at n=13A003164
- a(1)=3, b(n) = Product_{k=1..n} a(k), a(n+1) is the smallest prime factor of b(n)-1.at n=41A005265
- Number of subsequences of [ 1,...,n ] in which each odd number has an even neighbor.at n=13A007455
- a(n) = 3*a(n-1) + 2*a(n-2), with a(0)=1, a(1)=5.at n=6A007483
- Coordination sequence T1 for Zeolite Code JBW.at n=35A008121
- Coordination sequence T1 for Zeolite Code LEV.at n=39A008127
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=34A015986
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=43A017853
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=29A019546
- Coordination sequence T1 for Zeolite Code SAO.at n=41A019571
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=6A020374
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=8A022464
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=33A023247
- Primes that remain prime through 3 iterations of function f(x) = 3x + 4.at n=3A023278
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=16A023301
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=16A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=18A025407
- 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 14.at n=3A031602
- a(n) = prime(10*n-8).at n=40A031919
- Lower prime of a pair of consecutive primes having a difference of 14.at n=14A031932