7591
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7592
- 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
- 7590
- Möbius Function
- -1
- Radical
- 7591
- 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
- 176
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 965
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 11 positive 8th powers.at n=16A003389
- 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=3A031585
- Denominators of continued fraction convergents to sqrt(827).at n=7A042597
- Number of cycle types of direct products of two degree-n permutations.at n=14A053391
- a(n) = 6*n^2 + 6*n + 31.at n=35A060834
- Primes of the form 6*k^2 + 6*k + 31.at n=31A060844
- Triangle of generalized Stirling numbers.at n=16A061692
- Generalized Bell numbers.at n=5A061693
- a(n) = largest prime <= n*prime(n).at n=41A079780
- Class 5+ primes (for definition see A005105).at n=35A081633
- Primes whose base-17 expansion is a (valid) decimal expansion of a prime.at n=44A090713
- Irregular primes whose indices are irregular primes of order one.at n=18A090869
- a(0)=3; for n > 0, a(n) = smallest prime > a(n-1) such that Product_{i=0..n} a(i) - 2 is prime.at n=48A100276
- Numbers k such that 10^k + 5*R_k + 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A102937
- New factors appearing in the factorization of 5^k - 2^k as k increases.at n=32A109291
- Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 4 and repeat; as m = 1,2,3,.. the remaining terms form this sequence.at n=10A112562
- Primes arising in A073946.at n=8A113943
- Twin prime pairs k-1 and k+1 such that the squares of both are present in A115557.at n=35A115560
- Twin-prime pairs expressible as the sum of two triangular numbers.at n=35A117314
- Expansion of x^9/((1-x)*(1-x^2)*(1-x^3))^2.at n=26A117485