11329
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11330
- 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
- 11328
- Möbius Function
- -1
- Radical
- 11329
- 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
- 130
- 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
- 1370
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of tan(tanh(x))/cos(x).at n=4A009719
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=18A023317
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=17A031830
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+9 or 20k-9. Also number of partitions in which no odd part is repeated, with at most 4 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=49A036028
- Denominators of continued fraction convergents to sqrt(21).at n=12A041033
- Smallest prime in n-th shell of prime spiral.at n=19A053998
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=22A059287
- Primes p such that x^59 = 2 has no solution mod p.at n=25A059312
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=17A059669
- Primes p such that q-p = 22, where q is the next prime after p.at n=20A061779
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=27A070184
- Primes of the form 128n+65.at n=23A105129
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 7.at n=25A109561
- a(n) = ceiling(Pi^(n*e)).at n=3A121903
- a(n) = 104*n + 9977.at n=13A126978
- Even-indexed coefficients related to Kirchhoff index of hexagonal (benzene) chains.at n=8A137195
- Primes of the form 76x^2+20xy+145y^2.at n=20A140629
- Primes congruent to 7 mod 37.at n=41A142116
- Primes congruent to 13 mod 41.at n=35A142210
- Primes congruent to 20 mod 43.at n=35A142269