7703
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7704
- 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
- 7702
- Möbius Function
- -1
- Radical
- 7703
- 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
- 145
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 978
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of irreducible polyhedral graphs with n faces.at n=6A006867
- a(n) = Sum_{k=1..n} k*phi(k).at n=32A011755
- T(n, 2*n-3), T given by A027960.at n=33A027965
- Primes that are palindromic in base 6.at n=30A029974
- Primes that are palindromic in base 7.at n=26A029975
- 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 87.at n=15A031585
- Lower prime of a pair of consecutive primes having a difference of 14.at n=39A031932
- Primes which are not the sum of consecutive composite numbers.at n=32A037174
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.at n=4A037586
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=22A039664
- Base-7 palindromes that start with 3.at n=26A043017
- Numbers having four 5's in base 6.at n=13A043392
- First term of first sequence of n primes in arithmetic progression with a common difference equal to the product of first n primes.at n=7A053647
- a(n) = (n^3 + 6n^2 - n + 12)/6.at n=34A074742
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 6*p+1 is also prime.at n=31A075705
- Duplicate of A089116.at n=13A089099
- Convoluted convolved Fibonacci numbers G_j^(3).at n=13A089116
- Numbers in base 10 that are palindromic in bases 6 and 7.at n=12A097931
- Primes of the form 6n^2 - 2n - 1.at n=14A099007
- Primes not of the form floor(k + (1/2)*log(k)^2).at n=8A099937