11953
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11954
- 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
- 11952
- Möbius Function
- -1
- Radical
- 11953
- 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
- 50
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1433
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- sech(arctan(arcsin(x)))=1-1/2!*x^2+9/4!*x^4-249/6!*x^6+11953/8!*x^8...at n=4A012202
- An upper bound for linearized chord diagrams.at n=8A022492
- Primes that are palindromic in base 7.at n=36A029975
- [ exp(19/22)*n! ].at n=6A030830
- 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 12.at n=9A031600
- Primes prime(k) for which A049076(k) = 3.at n=33A049079
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=24A052232
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=20A057698
- Primes p = prime(k) such that prime(k) + prime(k+5) = prime(k+1) + prime(k+4) = prime(k+2) + prime(k+3).at n=35A064101
- a(n) = 6^n + 8^n + 9^n.at n=4A074579
- Primes p such that p*(p-2) divides 2^(p-1)-1.at n=11A081762
- Primes p such that p*(p-2) divides 3^(p-1)-1.at n=7A081764
- Primes which are the sum of three positive 4th powers.at n=22A085318
- Balanced primes of order five.at n=28A096697
- Prime numbers which when written in base 7 have a composite digit-sum.at n=6A096790
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=31A109982
- Primes p of the form a^4+b^4+c^4 with a,b,c>=1 such that a^2+b^2+c^2 is another prime < p.at n=17A126117
- Prime numbers that are the sum of three distinct positive fourth powers.at n=11A126657
- a(n) = 104*n + 9977.at n=19A126978
- Primes in A023108(n); or Lychrel primes.at n=28A135316