7717
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7718
- 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
- 7716
- Möbius Function
- -1
- Radical
- 7717
- 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
- 57
- 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
- 979
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Powers of fifth root of 7 rounded down.at n=23A018132
- Powers of fifth root of 7 rounded to nearest integer.at n=23A018133
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=37A020360
- Primes that contain digits 1 and 7 only.at n=8A020455
- Discriminants of quintic fields with 4 complex conjugates.at n=48A023685
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=29A025113
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=15A031902
- Upper prime of a difference of 14 between consecutive primes.at n=39A031933
- Positive numbers having the same set of digits in base 6 and base 9.at n=35A037436
- Recursive prime generating sequence.at n=41A039726
- Numbers whose base-7 representation contains exactly four 3's.at n=4A043408
- Numbers having three 7's in base 10.at n=15A043519
- Integers n such that A047988(n)=3.at n=35A047986
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=22A050968
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=39A052231
- Primes starting and ending with 7.at n=26A062334
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=32A070954
- Take A000040, omit commas: 23571113171923..., select 4-digit primes seen when scanning from left.at n=4A073037
- Primes having only {1, 4, 7} as digits.at n=21A079651
- First column of triangle A082737.at n=44A082739