14321
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14322
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14320
- Möbius Function
- -1
- Radical
- 14321
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 102
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1679
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Half-quartan primes: primes of the form p = (x^4 + y^4)/2.at n=10A002646
- Tetrahedral numbers written backwards.at n=41A004161
- Number of subsequences of [ 1,...,n ] in which each even number has an odd neighbor.at n=15A007481
- a(n) = 3*a(n-1) + 2*a(n-2), with a(0)=2, a(1)=7.at n=7A007484
- Powers of fourth root of 19 rounded up.at n=13A018101
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=20A020398
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=32A052163
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=30A059287
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=21A059669
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=34A059762
- Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=34A067062
- Smallest prime ending in reverse concatenation of first n natural numbers.at n=3A068135
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=35A070184
- Factorial expansion of A071156.at n=35A071158
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=23A075585
- Primes such that a sum of any two adjacent digits is prime; first and last digits are considered adjacent.at n=38A086244
- n^2-79*n+1601 as n runs through the lucky numbers.at n=32A087867
- Primes A005382(n) + A005384(n) - 1 with a twin prime A005382(n) + A005384(n) + 1.at n=21A099109
- Smallest of five consecutive primes whose sum of digits is prime.at n=36A106718
- Smallest of six consecutive primes whose sum of digits is prime.at n=15A106719