7411
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7412
- 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
- 7410
- Möbius Function
- -1
- Radical
- 7411
- 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
- 163
- 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
- 940
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=16A023276
- Numbers with exactly 7 1's in their ternary expansion.at n=17A023698
- n written in fractional base 10/7.at n=31A024662
- a(n) = Sum{T(n,k)}, k = 0,1,...,n, where T is the array in A026148.at n=9A026164
- Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code.at n=13A030505
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 85.at n=16A031583
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=10A031828
- Upper prime of a difference of 18 between consecutive primes.at n=29A031937
- Numbers whose set of base-9 digits is {1,4}.at n=33A032821
- Sums of 7 distinct powers of 3.at n=9A038469
- Numerators of continued fraction convergents to sqrt(721).at n=9A042388
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=17A045075
- Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence.at n=7A053736
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=12A056987
- First member of a prime triple in a 2p-1 progression.at n=35A057326
- First member of a prime quadruple in a 2p-1 progression.at n=6A057327
- a(n) = p is the smallest prime such that p = n + h(n)^2 and p is the first prime following h(n)^2. The smallest immediate post-square primes with distance n = p - h(n)^2.at n=14A058056
- Primes p such that x^19 = 2 has no solution mod p.at n=42A059244
- Primes p such that p^11 reversed is also prime.at n=33A059704
- Centered 10-gonal numbers.at n=38A062786