5011
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5012
- 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
- 5010
- Möbius Function
- -1
- Radical
- 5011
- 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
- 90
- 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
- 672
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code EPI.at n=44A008091
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=14A023281
- 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 69.at n=25A031567
- Lower prime of a difference of 10 between consecutive primes.at n=66A031928
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3,2.at n=6A037681
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=23A043084
- Numbers having three 7's in base 9.at n=6A043483
- Primes with first digit 5.at n=19A045711
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=14A046018
- Largest number m with A046805(m) = n.at n=44A046806
- Primes of the form 2*n^2 + 11.at n=29A050265
- Primes of the form 30*p + 1 where p is also prime.at n=17A051646
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=26A052354
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=44A055628
- Sum of n-th row of triangle of primes: 2; 2 3 2; 2 3 5 3 2; 2 3 5 7 5 3 2; ...; where n-th row contains 2n+1 terms.at n=36A061802
- Primes whose sum of digits is 7.at n=28A062337
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=9A066596
- Number of compositions (ordered partitions) of n that are concave-down sequences.at n=44A070211
- Diagonal of triangle A081994.at n=46A081995
- Least positive multiples of index n that can result from the self-convolution of a monotonically increasing sequence (A087148).at n=42A087149