1453
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1454
- 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
- 1452
- Möbius Function
- -1
- Radical
- 1453
- 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
- 47
- 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
- 231
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=33A000922
- a(n) = a(n-1) + a(n-2) with a(0)=2, a(1)=5. Sometimes called the Evangelist Sequence.at n=13A001060
- A variant of the cuban primes: primes p = (x^3 - y^3)/(x - y) where x = y + 2.at n=6A002648
- Divisible only by primes congruent to 4 mod 7.at n=42A004622
- Class 4+ primes (for definition see A005105).at n=23A005108
- Primes p such that (p+1)/2 is prime.at n=28A005383
- Numbers k such that k-6, k, and k+6 are primes.at n=37A006489
- Greater of twin primes.at n=47A006512
- Coordination sequence T8 for Zeolite Code EUO.at n=24A008103
- Coordination sequence T2 for Zeolite Code HEU.at n=25A008117
- Coordination sequence T2 for Cordierite.at n=23A008252
- Coordination sequence T2 for Zeolite Code RTE.at n=26A009891
- a(n) = prime(n*(n+1)/2).at n=20A011756
- a(n) = floor(n*(n-1)*(n-2)/4).at n=19A011886
- Expansion of -(2*x^3-x^2+x-1)/(x^4-3*x^3+3*x^2-3*x+1).at n=10A013326
- a(n) = F(n+1) + L(n), where F(n) and L(n) are Fibonacci and Lucas numbers, respectively.at n=14A013655
- Primes that are palindromic in base 2 (but written here in base 10).at n=12A016041
- Smallest prime whose digit product is n, if possible; otherwise 0 if n is a prime > 7 or 1 if n has a prime factor > 7.at n=60A016112
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=50A017874
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=0A020396