7417
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7418
- 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
- 7416
- Möbius Function
- -1
- Radical
- 7417
- 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
- 119
- 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
- 941
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of g.f. 1/((1-x)*(1-3*x)(1-8*x)).at n=4A016214
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=22A023281
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=27A023299
- n written in fractional base 10/7.at n=37A024662
- a(n) = T(n,n+3), T given by A027023.at n=10A027025
- a(n) = T(n,2n-10), T given by A027023.at n=8A027034
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=12A031421
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=33A031810
- Lower prime of a pair of consecutive primes having a difference of 16.at n=25A031934
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=21A036570
- Numbers having four 1's in base 9.at n=15A043460
- Numbers k such that 3^k - 2^k is prime.at n=18A057468
- Primes that are the sum of five consecutive composite numbers.at n=45A060330
- Primes starting and ending with 7.at n=15A062334
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=41A069832
- Numbers k such that 1/(1/phi(k) + 1/phi(k+1) + 1/phi(k+2)) is an integer.at n=38A073543
- Smallest odd prime not occurring in the numerator of any of the 2^n subset sums generated from the set 1/1, 1/2, 1/3, ..., 1/n.at n=18A075227
- Smallest odd prime not occurring in the numerator of any of the 2^n subset sums generated from the set 1/1, 1/2, 1/3, ..., 1/n.at n=19A075227
- Smallest odd prime not occurring in the numerator of any of the 2^n subset sums generated from the set 1/1, 1/2, 1/3, ..., 1/n.at n=17A075227
- Primes having only {1, 4, 7} as digits.at n=19A079651