5167
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5168
- 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
- 5166
- Möbius Function
- -1
- Radical
- 5167
- 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
- 178
- 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
- 688
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=41A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=35A001136
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = a(1) = 1.at n=17A001595
- Cuban primes: primes which are the difference of two consecutive cubes.at n=21A002407
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=41A003215
- Number of sensed planar maps with n edges and without loops or parallel edges.at n=9A006394
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=23A020403
- a(n) = least m such that if r and s in {1/3, 1/6, 1/9,..., 1/3n} satisfy r < s, then r < k/m < s for some integer k.at n=46A024824
- 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 71.at n=11A031569
- Upper prime of a difference of 14 between consecutive primes.at n=28A031933
- Number of asymmetric n-ominoes in n-2 space.at n=9A036366
- Gaps of 2 in sequence A038593 (upper terms).at n=9A038644
- Numbers ending with '7' that are the difference of two positive cubes.at n=29A038862
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=27A043078
- Primes with first digit 5.at n=35A045711
- Primes p such that p+4 and p+12 are also prime.at n=37A046137
- Palindromes in factorial base.at n=38A046807
- Revert transform of (-1 + 3x^2)/(-1 - x + 4x^2 + x^3).at n=13A049132
- Numbers formed from binomial coefficients (mod 2) interpreted as digits in factorial base.at n=6A051256
- a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.at n=17A053521